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Finding the Fourth Proportional to 5,019.84, 7,521.57 and 1,731.15

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Solution

The fourth proportional to 5,019.84, 7,521.57 and 1,731.15 is: 2,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.84 : 7,521.57 = 1,731.15 : x
  2. Step 2: Convert to fraction form
    5,019.84/7,521.57 = 1,731.15/x
  3. Step 3: Cross multiply
    5,019.84x = 7,521.57 × 1,731.15
  4. Step 4: Simplify right side
    5,019.84x = 13,020,965.91
  5. Step 5: Solve for x
    x = 13,020,965.91/5,019.84
  6. Step 6: Final answer
    x = 2,593.90

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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.