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Finding the Fourth Proportional to 5,156.14, 7,734.21 and 2,862.22

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Solution

The fourth proportional to 5,156.14, 7,734.21 and 2,862.22 is: 4,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.14 : 7,734.21 = 2,862.22 : x
  2. Step 2: Convert to fraction form
    5,156.14/7,734.21 = 2,862.22/x
  3. Step 3: Cross multiply
    5,156.14x = 7,734.21 × 2,862.22
  4. Step 4: Simplify right side
    5,156.14x = 22,137,010.55
  5. Step 5: Solve for x
    x = 22,137,010.55/5,156.14
  6. Step 6: Final answer
    x = 4,293.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.