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Finding the Fourth Proportional to 6,042.30, 8,341.31 and 4,052.13

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Solution

The fourth proportional to 6,042.30, 8,341.31 and 4,052.13 is: 5,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.30 : 8,341.31 = 4,052.13 : x
  2. Step 2: Convert to fraction form
    6,042.30/8,341.31 = 4,052.13/x
  3. Step 3: Cross multiply
    6,042.30x = 8,341.31 × 4,052.13
  4. Step 4: Simplify right side
    6,042.30x = 33,800,052.23
  5. Step 5: Solve for x
    x = 33,800,052.23/6,042.30
  6. Step 6: Final answer
    x = 5,593.91

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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.