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Finding the Fourth Proportional to 4,086.32, 6,129.50 and 1,164.65

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Solution

The fourth proportional to 4,086.32, 6,129.50 and 1,164.65 is: 1,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.32 : 6,129.50 = 1,164.65 : x
  2. Step 2: Convert to fraction form
    4,086.32/6,129.50 = 1,164.65/x
  3. Step 3: Cross multiply
    4,086.32x = 6,129.50 × 1,164.65
  4. Step 4: Simplify right side
    4,086.32x = 7,138,685.70
  5. Step 5: Solve for x
    x = 7,138,685.70/4,086.32
  6. Step 6: Final answer
    x = 1,746.97

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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.