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Finding the Fourth Proportional to 3,892.42, 5,371.32 and 2,124.01

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Solution

The fourth proportional to 3,892.42, 5,371.32 and 2,124.01 is: 2,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.42 : 5,371.32 = 2,124.01 : x
  2. Step 2: Convert to fraction form
    3,892.42/5,371.32 = 2,124.01/x
  3. Step 3: Cross multiply
    3,892.42x = 5,371.32 × 2,124.01
  4. Step 4: Simplify right side
    3,892.42x = 11,408,737.39
  5. Step 5: Solve for x
    x = 11,408,737.39/3,892.42
  6. Step 6: Final answer
    x = 2,931.01

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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.