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Finding the Fourth Proportional to 3,772.90, 5,655.70 and 1,305.87

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Solution

The fourth proportional to 3,772.90, 5,655.70 and 1,305.87 is: 1,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.90 : 5,655.70 = 1,305.87 : x
  2. Step 2: Convert to fraction form
    3,772.90/5,655.70 = 1,305.87/x
  3. Step 3: Cross multiply
    3,772.90x = 5,655.70 × 1,305.87
  4. Step 4: Simplify right side
    3,772.90x = 7,385,608.96
  5. Step 5: Solve for x
    x = 7,385,608.96/3,772.90
  6. Step 6: Final answer
    x = 1,957.54

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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.