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Finding the Fourth Proportional to 3,772.29, 5,657.40 and 1,580.55

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Solution

The fourth proportional to 3,772.29, 5,657.40 and 1,580.55 is: 2,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.29 : 5,657.40 = 1,580.55 : x
  2. Step 2: Convert to fraction form
    3,772.29/5,657.40 = 1,580.55/x
  3. Step 3: Cross multiply
    3,772.29x = 5,657.40 × 1,580.55
  4. Step 4: Simplify right side
    3,772.29x = 8,941,803.57
  5. Step 5: Solve for x
    x = 8,941,803.57/3,772.29
  6. Step 6: Final answer
    x = 2,370.39

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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.