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Finding the Fourth Proportional to 3,924.61, 5,887.88 and 1,951.17

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Solution

The fourth proportional to 3,924.61, 5,887.88 and 1,951.17 is: 2,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.61 : 5,887.88 = 1,951.17 : x
  2. Step 2: Convert to fraction form
    3,924.61/5,887.88 = 1,951.17/x
  3. Step 3: Cross multiply
    3,924.61x = 5,887.88 × 1,951.17
  4. Step 4: Simplify right side
    3,924.61x = 11,488,254.82
  5. Step 5: Solve for x
    x = 11,488,254.82/3,924.61
  6. Step 6: Final answer
    x = 2,927.23

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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.