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Finding the Fourth Proportional to 4,159.08, 5,737.86 and 2,917.80

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Solution

The fourth proportional to 4,159.08, 5,737.86 and 2,917.80 is: 4,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.08 : 5,737.86 = 2,917.80 : x
  2. Step 2: Convert to fraction form
    4,159.08/5,737.86 = 2,917.80/x
  3. Step 3: Cross multiply
    4,159.08x = 5,737.86 × 2,917.80
  4. Step 4: Simplify right side
    4,159.08x = 16,741,927.91
  5. Step 5: Solve for x
    x = 16,741,927.91/4,159.08
  6. Step 6: Final answer
    x = 4,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.