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Finding the Fourth Proportional to 3,569.60, 5,352.42 and 1,103.74

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Solution

The fourth proportional to 3,569.60, 5,352.42 and 1,103.74 is: 1,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.60 : 5,352.42 = 1,103.74 : x
  2. Step 2: Convert to fraction form
    3,569.60/5,352.42 = 1,103.74/x
  3. Step 3: Cross multiply
    3,569.60x = 5,352.42 × 1,103.74
  4. Step 4: Simplify right side
    3,569.60x = 5,907,680.05
  5. Step 5: Solve for x
    x = 5,907,680.05/3,569.60
  6. Step 6: Final answer
    x = 1,655.00

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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.