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Finding the Fourth Proportional to 5,132.68, 7,083.06 and 4,014.76

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Solution

The fourth proportional to 5,132.68, 7,083.06 and 4,014.76 is: 5,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.68 : 7,083.06 = 4,014.76 : x
  2. Step 2: Convert to fraction form
    5,132.68/7,083.06 = 4,014.76/x
  3. Step 3: Cross multiply
    5,132.68x = 7,083.06 × 4,014.76
  4. Step 4: Simplify right side
    5,132.68x = 28,436,785.97
  5. Step 5: Solve for x
    x = 28,436,785.97/5,132.68
  6. Step 6: Final answer
    x = 5,540.34

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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.