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Finding the Fourth Proportional to 5,754.38, 8,630.55 and 1,537.65

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Solution

The fourth proportional to 5,754.38, 8,630.55 and 1,537.65 is: 2,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.38 : 8,630.55 = 1,537.65 : x
  2. Step 2: Convert to fraction form
    5,754.38/8,630.55 = 1,537.65/x
  3. Step 3: Cross multiply
    5,754.38x = 8,630.55 × 1,537.65
  4. Step 4: Simplify right side
    5,754.38x = 13,270,765.21
  5. Step 5: Solve for x
    x = 13,270,765.21/5,754.38
  6. Step 6: Final answer
    x = 2,306.20

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1.5x scale

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.