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Finding the Fourth Proportional to 5,641.92, 8,462.79 and 1,537.92

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Solution

The fourth proportional to 5,641.92, 8,462.79 and 1,537.92 is: 2,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 8,462.79 = 1,537.92 : x
  2. Step 2: Convert to fraction form
    5,641.92/8,462.79 = 1,537.92/x
  3. Step 3: Cross multiply
    5,641.92x = 8,462.79 × 1,537.92
  4. Step 4: Simplify right side
    5,641.92x = 13,015,094.00
  5. Step 5: Solve for x
    x = 13,015,094.00/5,641.92
  6. Step 6: Final answer
    x = 2,306.86

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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.