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Finding the Fourth Proportional to 5,462.16, 8,193.24 and 2,382

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Solution

The fourth proportional to 5,462.16, 8,193.24 and 2,382 is: 3,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.16 : 8,193.24 = 2,382 : x
  2. Step 2: Convert to fraction form
    5,462.16/8,193.24 = 2,382/x
  3. Step 3: Cross multiply
    5,462.16x = 8,193.24 × 2,382
  4. Step 4: Simplify right side
    5,462.16x = 19,516,297.68
  5. Step 5: Solve for x
    x = 19,516,297.68/5,462.16
  6. Step 6: Final answer
    x = 3,573

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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.