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Finding the Fourth Proportional to 5,070.38, 6,997.12 and 2,862.38

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Solution

The fourth proportional to 5,070.38, 6,997.12 and 2,862.38 is: 3,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.38 : 6,997.12 = 2,862.38 : x
  2. Step 2: Convert to fraction form
    5,070.38/6,997.12 = 2,862.38/x
  3. Step 3: Cross multiply
    5,070.38x = 6,997.12 × 2,862.38
  4. Step 4: Simplify right side
    5,070.38x = 20,028,374.20
  5. Step 5: Solve for x
    x = 20,028,374.20/5,070.38
  6. Step 6: Final answer
    x = 3,950.08

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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.