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Finding the Fourth Proportional to 5,042.38, 6,957.72 and 2,804.28

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Solution

The fourth proportional to 5,042.38, 6,957.72 and 2,804.28 is: 3,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.38 : 6,957.72 = 2,804.28 : x
  2. Step 2: Convert to fraction form
    5,042.38/6,957.72 = 2,804.28/x
  3. Step 3: Cross multiply
    5,042.38x = 6,957.72 × 2,804.28
  4. Step 4: Simplify right side
    5,042.38x = 19,511,395.04
  5. Step 5: Solve for x
    x = 19,511,395.04/5,042.38
  6. Step 6: Final answer
    x = 3,869.48

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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.