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Finding the Fourth Proportional to 3,772.32, 5,657.13 and 1,306.49

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Solution

The fourth proportional to 3,772.32, 5,657.13 and 1,306.49 is: 1,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.32 : 5,657.13 = 1,306.49 : x
  2. Step 2: Convert to fraction form
    3,772.32/5,657.13 = 1,306.49/x
  3. Step 3: Cross multiply
    3,772.32x = 5,657.13 × 1,306.49
  4. Step 4: Simplify right side
    3,772.32x = 7,390,955.49
  5. Step 5: Solve for x
    x = 7,390,955.49/3,772.32
  6. Step 6: Final answer
    x = 1,959.26

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