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Finding the Fourth Proportional to 5,094.38, 7,042.01 and 4,250.16

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Solution

The fourth proportional to 5,094.38, 7,042.01 and 4,250.16 is: 5,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.38 : 7,042.01 = 4,250.16 : x
  2. Step 2: Convert to fraction form
    5,094.38/7,042.01 = 4,250.16/x
  3. Step 3: Cross multiply
    5,094.38x = 7,042.01 × 4,250.16
  4. Step 4: Simplify right side
    5,094.38x = 29,929,647.97
  5. Step 5: Solve for x
    x = 29,929,647.97/5,094.38
  6. Step 6: Final answer
    x = 5,875.04

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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.