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Finding the Fourth Proportional to 5,019.71, 7,524.90 and 1,732.02

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Solution

The fourth proportional to 5,019.71, 7,524.90 and 1,732.02 is: 2,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.71 : 7,524.90 = 1,732.02 : x
  2. Step 2: Convert to fraction form
    5,019.71/7,524.90 = 1,732.02/x
  3. Step 3: Cross multiply
    5,019.71x = 7,524.90 × 1,732.02
  4. Step 4: Simplify right side
    5,019.71x = 13,033,249.08
  5. Step 5: Solve for x
    x = 13,033,249.08/5,019.71
  6. Step 6: Final answer
    x = 2,596.42

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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.