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Finding the Fourth Proportional to 5,424.76, 8,137.14 and 1,320.76

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Solution

The fourth proportional to 5,424.76, 8,137.14 and 1,320.76 is: 1,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.76 : 8,137.14 = 1,320.76 : x
  2. Step 2: Convert to fraction form
    5,424.76/8,137.14 = 1,320.76/x
  3. Step 3: Cross multiply
    5,424.76x = 8,137.14 × 1,320.76
  4. Step 4: Simplify right side
    5,424.76x = 10,747,209.03
  5. Step 5: Solve for x
    x = 10,747,209.03/5,424.76
  6. Step 6: Final answer
    x = 1,981.14

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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.