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Finding the Fourth Proportional to 5,016.76, 7,523.34 and 1,729

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Solution

The fourth proportional to 5,016.76, 7,523.34 and 1,729 is: 2,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.76 : 7,523.34 = 1,729 : x
  2. Step 2: Convert to fraction form
    5,016.76/7,523.34 = 1,729/x
  3. Step 3: Cross multiply
    5,016.76x = 7,523.34 × 1,729
  4. Step 4: Simplify right side
    5,016.76x = 13,007,854.86
  5. Step 5: Solve for x
    x = 13,007,854.86/5,016.76
  6. Step 6: Final answer
    x = 2,592.88

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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.