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Finding the Fourth Proportional to 5,424.92, 8,137.36 and 1,320.92

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Solution

The fourth proportional to 5,424.92, 8,137.36 and 1,320.92 is: 1,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.92 : 8,137.36 = 1,320.92 : x
  2. Step 2: Convert to fraction form
    5,424.92/8,137.36 = 1,320.92/x
  3. Step 3: Cross multiply
    5,424.92x = 8,137.36 × 1,320.92
  4. Step 4: Simplify right side
    5,424.92x = 10,748,801.57
  5. Step 5: Solve for x
    x = 10,748,801.57/5,424.92
  6. Step 6: Final answer
    x = 1,981.38

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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.