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Finding the Fourth Proportional to 5,763.47, 8,641.53 and 3,542.76

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Solution

The fourth proportional to 5,763.47, 8,641.53 and 3,542.76 is: 5,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.47 : 8,641.53 = 3,542.76 : x
  2. Step 2: Convert to fraction form
    5,763.47/8,641.53 = 3,542.76/x
  3. Step 3: Cross multiply
    5,763.47x = 8,641.53 × 3,542.76
  4. Step 4: Simplify right side
    5,763.47x = 30,614,866.82
  5. Step 5: Solve for x
    x = 30,614,866.82/5,763.47
  6. Step 6: Final answer
    x = 5,311.89

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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.