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Finding the Fourth Proportional to 5,100.92, 7,038.60 and 2,862.78

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Solution

The fourth proportional to 5,100.92, 7,038.60 and 2,862.78 is: 3,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.92 : 7,038.60 = 2,862.78 : x
  2. Step 2: Convert to fraction form
    5,100.92/7,038.60 = 2,862.78/x
  3. Step 3: Cross multiply
    5,100.92x = 7,038.60 × 2,862.78
  4. Step 4: Simplify right side
    5,100.92x = 20,149,926.18
  5. Step 5: Solve for x
    x = 20,149,926.18/5,100.92
  6. Step 6: Final answer
    x = 3,950.25

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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.