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Finding the Fourth Proportional to 5,275.17, 7,909.67 and 1,988.52

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Solution

The fourth proportional to 5,275.17, 7,909.67 and 1,988.52 is: 2,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.17 : 7,909.67 = 1,988.52 : x
  2. Step 2: Convert to fraction form
    5,275.17/7,909.67 = 1,988.52/x
  3. Step 3: Cross multiply
    5,275.17x = 7,909.67 × 1,988.52
  4. Step 4: Simplify right side
    5,275.17x = 15,728,527.05
  5. Step 5: Solve for x
    x = 15,728,527.05/5,275.17
  6. Step 6: Final answer
    x = 2,981.62

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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.