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Finding the Fourth Proportional to 6,854.59, 10,279.79 and 3,565.90

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Solution

The fourth proportional to 6,854.59, 10,279.79 and 3,565.90 is: 5,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.59 : 10,279.79 = 3,565.90 : x
  2. Step 2: Convert to fraction form
    6,854.59/10,279.79 = 3,565.90/x
  3. Step 3: Cross multiply
    6,854.59x = 10,279.79 × 3,565.90
  4. Step 4: Simplify right side
    6,854.59x = 36,656,703.16
  5. Step 5: Solve for x
    x = 36,656,703.16/6,854.59
  6. Step 6: Final answer
    x = 5,347.76

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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.