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Finding the Fourth Proportional to 6,042.98, 8,343.18 and 5,412.39

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Solution

The fourth proportional to 6,042.98, 8,343.18 and 5,412.39 is: 7,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.98 : 8,343.18 = 5,412.39 : x
  2. Step 2: Convert to fraction form
    6,042.98/8,343.18 = 5,412.39/x
  3. Step 3: Cross multiply
    6,042.98x = 8,343.18 × 5,412.39
  4. Step 4: Simplify right side
    6,042.98x = 45,156,544.00
  5. Step 5: Solve for x
    x = 45,156,544.00/6,042.98
  6. Step 6: Final answer
    x = 7,472.57

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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.