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Finding the Fourth Proportional to 3,565.68, 5,349.24 and 1,257.12

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Solution

The fourth proportional to 3,565.68, 5,349.24 and 1,257.12 is: 1,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.68 : 5,349.24 = 1,257.12 : x
  2. Step 2: Convert to fraction form
    3,565.68/5,349.24 = 1,257.12/x
  3. Step 3: Cross multiply
    3,565.68x = 5,349.24 × 1,257.12
  4. Step 4: Simplify right side
    3,565.68x = 6,724,636.59
  5. Step 5: Solve for x
    x = 6,724,636.59/3,565.68
  6. Step 6: Final answer
    x = 1,885.93

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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.