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Finding the Fourth Proportional to 3,565.12, 5,347.65 and 1,099.25

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Solution

The fourth proportional to 3,565.12, 5,347.65 and 1,099.25 is: 1,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.12 : 5,347.65 = 1,099.25 : x
  2. Step 2: Convert to fraction form
    3,565.12/5,347.65 = 1,099.25/x
  3. Step 3: Cross multiply
    3,565.12x = 5,347.65 × 1,099.25
  4. Step 4: Simplify right side
    3,565.12x = 5,878,404.26
  5. Step 5: Solve for x
    x = 5,878,404.26/3,565.12
  6. Step 6: Final answer
    x = 1,648.87

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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.