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Finding the Fourth Proportional to 5,642.32, 8,463.16 and 1,538

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Solution

The fourth proportional to 5,642.32, 8,463.16 and 1,538 is: 2,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.32 : 8,463.16 = 1,538 : x
  2. Step 2: Convert to fraction form
    5,642.32/8,463.16 = 1,538/x
  3. Step 3: Cross multiply
    5,642.32x = 8,463.16 × 1,538
  4. Step 4: Simplify right side
    5,642.32x = 13,016,340.08
  5. Step 5: Solve for x
    x = 13,016,340.08/5,642.32
  6. Step 6: Final answer
    x = 2,306.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.