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Finding the Fourth Proportional to 5,917.24, 8,863.98 and 4,686.76

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Solution

The fourth proportional to 5,917.24, 8,863.98 and 4,686.76 is: 7,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.24 : 8,863.98 = 4,686.76 : x
  2. Step 2: Convert to fraction form
    5,917.24/8,863.98 = 4,686.76/x
  3. Step 3: Cross multiply
    5,917.24x = 8,863.98 × 4,686.76
  4. Step 4: Simplify right side
    5,917.24x = 41,543,346.90
  5. Step 5: Solve for x
    x = 41,543,346.90/5,917.24
  6. Step 6: Final answer
    x = 7,020.73

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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.