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Finding the Fourth Proportional to 5,062.38, 6,985.58 and 3,072.82

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Solution

The fourth proportional to 5,062.38, 6,985.58 and 3,072.82 is: 4,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.38 : 6,985.58 = 3,072.82 : x
  2. Step 2: Convert to fraction form
    5,062.38/6,985.58 = 3,072.82/x
  3. Step 3: Cross multiply
    5,062.38x = 6,985.58 × 3,072.82
  4. Step 4: Simplify right side
    5,062.38x = 21,465,429.94
  5. Step 5: Solve for x
    x = 21,465,429.94/5,062.38
  6. Step 6: Final answer
    x = 4,240.19

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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.