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Finding the Fourth Proportional to 5,092.90, 7,028.70 and 2,854.78

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Solution

The fourth proportional to 5,092.90, 7,028.70 and 2,854.78 is: 3,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.90 : 7,028.70 = 2,854.78 : x
  2. Step 2: Convert to fraction form
    5,092.90/7,028.70 = 2,854.78/x
  3. Step 3: Cross multiply
    5,092.90x = 7,028.70 × 2,854.78
  4. Step 4: Simplify right side
    5,092.90x = 20,065,392.19
  5. Step 5: Solve for x
    x = 20,065,392.19/5,092.90
  6. Step 6: Final answer
    x = 3,939.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.