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Finding the Fourth Proportional to 5,175.61, 7,142.14 and 2,817.76

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Solution

The fourth proportional to 5,175.61, 7,142.14 and 2,817.76 is: 3,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.61 : 7,142.14 = 2,817.76 : x
  2. Step 2: Convert to fraction form
    5,175.61/7,142.14 = 2,817.76/x
  3. Step 3: Cross multiply
    5,175.61x = 7,142.14 × 2,817.76
  4. Step 4: Simplify right side
    5,175.61x = 20,124,836.41
  5. Step 5: Solve for x
    x = 20,124,836.41/5,175.61
  6. Step 6: Final answer
    x = 3,888.40

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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.