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Finding the Fourth Proportional to 3,444.53, 5,165.46 and 1,103.90

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Solution

The fourth proportional to 3,444.53, 5,165.46 and 1,103.90 is: 1,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.53 : 5,165.46 = 1,103.90 : x
  2. Step 2: Convert to fraction form
    3,444.53/5,165.46 = 1,103.90/x
  3. Step 3: Cross multiply
    3,444.53x = 5,165.46 × 1,103.90
  4. Step 4: Simplify right side
    3,444.53x = 5,702,125.47
  5. Step 5: Solve for x
    x = 5,702,125.47/3,444.53
  6. Step 6: Final answer
    x = 1,655.42

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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.