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Finding the Fourth Proportional to 3,489.40, 5,235.24 and 2,103.64

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Solution

The fourth proportional to 3,489.40, 5,235.24 and 2,103.64 is: 3,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.40 : 5,235.24 = 2,103.64 : x
  2. Step 2: Convert to fraction form
    3,489.40/5,235.24 = 2,103.64/x
  3. Step 3: Cross multiply
    3,489.40x = 5,235.24 × 2,103.64
  4. Step 4: Simplify right side
    3,489.40x = 11,013,060.27
  5. Step 5: Solve for x
    x = 11,013,060.27/3,489.40
  6. Step 6: Final answer
    x = 3,156.15

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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.