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Finding the Fourth Proportional to 5,982, 8,913.54 and 5,327.70

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Solution

The fourth proportional to 5,982, 8,913.54 and 5,327.70 is: 7,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 8,913.54 = 5,327.70 : x
  2. Step 2: Convert to fraction form
    5,982/8,913.54 = 5,327.70/x
  3. Step 3: Cross multiply
    5,982x = 8,913.54 × 5,327.70
  4. Step 4: Simplify right side
    5,982x = 47,488,667.06
  5. Step 5: Solve for x
    x = 47,488,667.06/5,982
  6. Step 6: Final answer
    x = 7,938.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.