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Finding the Fourth Proportional to 5,122.70, 7,069.19 and 2,854.02

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Solution

The fourth proportional to 5,122.70, 7,069.19 and 2,854.02 is: 3,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.70 : 7,069.19 = 2,854.02 : x
  2. Step 2: Convert to fraction form
    5,122.70/7,069.19 = 2,854.02/x
  3. Step 3: Cross multiply
    5,122.70x = 7,069.19 × 2,854.02
  4. Step 4: Simplify right side
    5,122.70x = 20,175,595.37
  5. Step 5: Solve for x
    x = 20,175,595.37/5,122.70
  6. Step 6: Final answer
    x = 3,938.47

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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.