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Finding the Fourth Proportional to 5,306.68, 7,952.62 and 3,988.89

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Solution

The fourth proportional to 5,306.68, 7,952.62 and 3,988.89 is: 5,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.68 : 7,952.62 = 3,988.89 : x
  2. Step 2: Convert to fraction form
    5,306.68/7,952.62 = 3,988.89/x
  3. Step 3: Cross multiply
    5,306.68x = 7,952.62 × 3,988.89
  4. Step 4: Simplify right side
    5,306.68x = 31,722,126.39
  5. Step 5: Solve for x
    x = 31,722,126.39/5,306.68
  6. Step 6: Final answer
    x = 5,977.77

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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.