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Finding the Fourth Proportional to 3,687.71, 5,086.43 and 3,565.67

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Solution

The fourth proportional to 3,687.71, 5,086.43 and 3,565.67 is: 4,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.71 : 5,086.43 = 3,565.67 : x
  2. Step 2: Convert to fraction form
    3,687.71/5,086.43 = 3,565.67/x
  3. Step 3: Cross multiply
    3,687.71x = 5,086.43 × 3,565.67
  4. Step 4: Simplify right side
    3,687.71x = 18,136,529.58
  5. Step 5: Solve for x
    x = 18,136,529.58/3,687.71
  6. Step 6: Final answer
    x = 4,918.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.