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Finding the Fourth Proportional to 3,565.61, 5,346.49 and 1,099.97

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Solution

The fourth proportional to 3,565.61, 5,346.49 and 1,099.97 is: 1,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.61 : 5,346.49 = 1,099.97 : x
  2. Step 2: Convert to fraction form
    3,565.61/5,346.49 = 1,099.97/x
  3. Step 3: Cross multiply
    3,565.61x = 5,346.49 × 1,099.97
  4. Step 4: Simplify right side
    3,565.61x = 5,880,978.61
  5. Step 5: Solve for x
    x = 5,880,978.61/3,565.61
  6. Step 6: Final answer
    x = 1,649.36

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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.