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Finding the Fourth Proportional to 5,320.66, 7,981 and 1,424.97

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Solution

The fourth proportional to 5,320.66, 7,981 and 1,424.97 is: 2,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.66 : 7,981 = 1,424.97 : x
  2. Step 2: Convert to fraction form
    5,320.66/7,981 = 1,424.97/x
  3. Step 3: Cross multiply
    5,320.66x = 7,981 × 1,424.97
  4. Step 4: Simplify right side
    5,320.66x = 11,372,685.57
  5. Step 5: Solve for x
    x = 11,372,685.57/5,320.66
  6. Step 6: Final answer
    x = 2,137.46

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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.