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Finding the Fourth Proportional to 5,104.64, 7,046.40 and 3,614.72

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Solution

The fourth proportional to 5,104.64, 7,046.40 and 3,614.72 is: 4,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.64 : 7,046.40 = 3,614.72 : x
  2. Step 2: Convert to fraction form
    5,104.64/7,046.40 = 3,614.72/x
  3. Step 3: Cross multiply
    5,104.64x = 7,046.40 × 3,614.72
  4. Step 4: Simplify right side
    5,104.64x = 25,470,763.01
  5. Step 5: Solve for x
    x = 25,470,763.01/5,104.64
  6. Step 6: Final answer
    x = 4,989.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.