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Finding the Fourth Proportional to 4,120.76, 6,141.49 and 4,055.15

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Solution

The fourth proportional to 4,120.76, 6,141.49 and 4,055.15 is: 6,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.76 : 6,141.49 = 4,055.15 : x
  2. Step 2: Convert to fraction form
    4,120.76/6,141.49 = 4,055.15/x
  3. Step 3: Cross multiply
    4,120.76x = 6,141.49 × 4,055.15
  4. Step 4: Simplify right side
    4,120.76x = 24,904,663.17
  5. Step 5: Solve for x
    x = 24,904,663.17/4,120.76
  6. Step 6: Final answer
    x = 6,043.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.