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Finding the Fourth Proportional to 3,565.08, 5,347.20 and 1,099.68

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Solution

The fourth proportional to 3,565.08, 5,347.20 and 1,099.68 is: 1,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.08 : 5,347.20 = 1,099.68 : x
  2. Step 2: Convert to fraction form
    3,565.08/5,347.20 = 1,099.68/x
  3. Step 3: Cross multiply
    3,565.08x = 5,347.20 × 1,099.68
  4. Step 4: Simplify right side
    3,565.08x = 5,880,208.90
  5. Step 5: Solve for x
    x = 5,880,208.90/3,565.08
  6. Step 6: Final answer
    x = 1,649.39

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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.