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Finding the Fourth Proportional to 3,568.66, 5,352.54 and 1,103.29

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Solution

The fourth proportional to 3,568.66, 5,352.54 and 1,103.29 is: 1,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.66 : 5,352.54 = 1,103.29 : x
  2. Step 2: Convert to fraction form
    3,568.66/5,352.54 = 1,103.29/x
  3. Step 3: Cross multiply
    3,568.66x = 5,352.54 × 1,103.29
  4. Step 4: Simplify right side
    3,568.66x = 5,905,403.86
  5. Step 5: Solve for x
    x = 5,905,403.86/3,568.66
  6. Step 6: Final answer
    x = 1,654.80

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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.