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Finding the Fourth Proportional to 5,100.72, 7,038.84 and 2,862.60

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Solution

The fourth proportional to 5,100.72, 7,038.84 and 2,862.60 is: 3,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.72 : 7,038.84 = 2,862.60 : x
  2. Step 2: Convert to fraction form
    5,100.72/7,038.84 = 2,862.60/x
  3. Step 3: Cross multiply
    5,100.72x = 7,038.84 × 2,862.60
  4. Step 4: Simplify right side
    5,100.72x = 20,149,383.38
  5. Step 5: Solve for x
    x = 20,149,383.38/5,100.72
  6. Step 6: Final answer
    x = 3,950.30

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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.