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Finding the Fourth Proportional to 5,103, 7,042.14 and 2,895

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Solution

The fourth proportional to 5,103, 7,042.14 and 2,895 is: 3,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,042.14 = 2,895 : x
  2. Step 2: Convert to fraction form
    5,103/7,042.14 = 2,895/x
  3. Step 3: Cross multiply
    5,103x = 7,042.14 × 2,895
  4. Step 4: Simplify right side
    5,103x = 20,386,995.30
  5. Step 5: Solve for x
    x = 20,386,995.30/5,103
  6. Step 6: Final answer
    x = 3,995.10

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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.