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Finding the Fourth Proportional to 5,122.76, 7,069.28 and 2,854.08

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Solution

The fourth proportional to 5,122.76, 7,069.28 and 2,854.08 is: 3,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.76 : 7,069.28 = 2,854.08 : x
  2. Step 2: Convert to fraction form
    5,122.76/7,069.28 = 2,854.08/x
  3. Step 3: Cross multiply
    5,122.76x = 7,069.28 × 2,854.08
  4. Step 4: Simplify right side
    5,122.76x = 20,176,290.66
  5. Step 5: Solve for x
    x = 20,176,290.66/5,122.76
  6. Step 6: Final answer
    x = 3,938.56

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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.