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Finding the Fourth Proportional to 3,565.74, 5,349.28 and 1,618.08

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Solution

The fourth proportional to 3,565.74, 5,349.28 and 1,618.08 is: 2,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.74 : 5,349.28 = 1,618.08 : x
  2. Step 2: Convert to fraction form
    3,565.74/5,349.28 = 1,618.08/x
  3. Step 3: Cross multiply
    3,565.74x = 5,349.28 × 1,618.08
  4. Step 4: Simplify right side
    3,565.74x = 8,655,562.98
  5. Step 5: Solve for x
    x = 8,655,562.98/3,565.74
  6. Step 6: Final answer
    x = 2,427.42

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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.