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Finding the Fourth Proportional to 3,761.61, 5,608.16 and 3,665.76

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Solution

The fourth proportional to 3,761.61, 5,608.16 and 3,665.76 is: 5,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.61 : 5,608.16 = 3,665.76 : x
  2. Step 2: Convert to fraction form
    3,761.61/5,608.16 = 3,665.76/x
  3. Step 3: Cross multiply
    3,761.61x = 5,608.16 × 3,665.76
  4. Step 4: Simplify right side
    3,761.61x = 20,558,150.27
  5. Step 5: Solve for x
    x = 20,558,150.27/3,761.61
  6. Step 6: Final answer
    x = 5,465.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.