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Finding the Fourth Proportional to 3,710.61, 5,565.32 and 1,371.72

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Solution

The fourth proportional to 3,710.61, 5,565.32 and 1,371.72 is: 2,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.61 : 5,565.32 = 1,371.72 : x
  2. Step 2: Convert to fraction form
    3,710.61/5,565.32 = 1,371.72/x
  3. Step 3: Cross multiply
    3,710.61x = 5,565.32 × 1,371.72
  4. Step 4: Simplify right side
    3,710.61x = 7,634,079.91
  5. Step 5: Solve for x
    x = 7,634,079.91/3,710.61
  6. Step 6: Final answer
    x = 2,057.37

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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.