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Finding the Fourth Proportional to 5,173.61, 7,139.38 and 2,815.76

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Solution

The fourth proportional to 5,173.61, 7,139.38 and 2,815.76 is: 3,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.61 : 7,139.38 = 2,815.76 : x
  2. Step 2: Convert to fraction form
    5,173.61/7,139.38 = 2,815.76/x
  3. Step 3: Cross multiply
    5,173.61x = 7,139.38 × 2,815.76
  4. Step 4: Simplify right side
    5,173.61x = 20,102,737.89
  5. Step 5: Solve for x
    x = 20,102,737.89/5,173.61
  6. Step 6: Final answer
    x = 3,885.63

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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.