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Finding the Fourth Proportional to 3,835,970.04, 5,754,713.06 and 1,407,145.84

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Solution

The fourth proportional to 3,835,970.04, 5,754,713.06 and 1,407,145.84 is: 2,110,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,970.04 : 5,754,713.06 = 1,407,145.84 : x
  2. Step 2: Convert to fraction form
    3,835,970.04/5,754,713.06 = 1,407,145.84/x
  3. Step 3: Cross multiply
    3,835,970.04x = 5,754,713.06 × 1,407,145.84
  4. Step 4: Simplify right side
    3,835,970.04x = 8,097,720,542,772.67
  5. Step 5: Solve for x
    x = 8,097,720,542,772.67/3,835,970.04
  6. Step 6: Final answer
    x = 2,110,996.82

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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.