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Finding the Fourth Proportional to 4,188.65, 6,282.92 and 1,591.58

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Solution

The fourth proportional to 4,188.65, 6,282.92 and 1,591.58 is: 2,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.65 : 6,282.92 = 1,591.58 : x
  2. Step 2: Convert to fraction form
    4,188.65/6,282.92 = 1,591.58/x
  3. Step 3: Cross multiply
    4,188.65x = 6,282.92 × 1,591.58
  4. Step 4: Simplify right side
    4,188.65x = 9,999,789.50
  5. Step 5: Solve for x
    x = 9,999,789.50/4,188.65
  6. Step 6: Final answer
    x = 2,387.36

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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.