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Finding the Fourth Proportional to 3,809,509.06, 5,713,913.67 and 1,285,186.18

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Solution

The fourth proportional to 3,809,509.06, 5,713,913.67 and 1,285,186.18 is: 1,927,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809,509.06 : 5,713,913.67 = 1,285,186.18 : x
  2. Step 2: Convert to fraction form
    3,809,509.06/5,713,913.67 = 1,285,186.18/x
  3. Step 3: Cross multiply
    3,809,509.06x = 5,713,913.67 × 1,285,186.18
  4. Step 4: Simplify right side
    3,809,509.06x = 7,343,442,863,292.85
  5. Step 5: Solve for x
    x = 7,343,442,863,292.85/3,809,509.06
  6. Step 6: Final answer
    x = 1,927,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.