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Finding the Fourth Proportional to 3,712.87, 5,124.90 and 2,142.01

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Solution

The fourth proportional to 3,712.87, 5,124.90 and 2,142.01 is: 2,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.87 : 5,124.90 = 2,142.01 : x
  2. Step 2: Convert to fraction form
    3,712.87/5,124.90 = 2,142.01/x
  3. Step 3: Cross multiply
    3,712.87x = 5,124.90 × 2,142.01
  4. Step 4: Simplify right side
    3,712.87x = 10,977,587.05
  5. Step 5: Solve for x
    x = 10,977,587.05/3,712.87
  6. Step 6: Final answer
    x = 2,956.63

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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.