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Finding the Fourth Proportional to 3,821.09, 5,730.19 and 1,600.07

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Solution

The fourth proportional to 3,821.09, 5,730.19 and 1,600.07 is: 2,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.09 : 5,730.19 = 1,600.07 : x
  2. Step 2: Convert to fraction form
    3,821.09/5,730.19 = 1,600.07/x
  3. Step 3: Cross multiply
    3,821.09x = 5,730.19 × 1,600.07
  4. Step 4: Simplify right side
    3,821.09x = 9,168,705.11
  5. Step 5: Solve for x
    x = 9,168,705.11/3,821.09
  6. Step 6: Final answer
    x = 2,399.50

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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.