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Finding the Fourth Proportional to 3,565.89, 5,349.03 and 1,102.41

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Solution

The fourth proportional to 3,565.89, 5,349.03 and 1,102.41 is: 1,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.89 : 5,349.03 = 1,102.41 : x
  2. Step 2: Convert to fraction form
    3,565.89/5,349.03 = 1,102.41/x
  3. Step 3: Cross multiply
    3,565.89x = 5,349.03 × 1,102.41
  4. Step 4: Simplify right side
    3,565.89x = 5,896,824.16
  5. Step 5: Solve for x
    x = 5,896,824.16/3,565.89
  6. Step 6: Final answer
    x = 1,653.68

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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.