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Finding the Fourth Proportional to 3,892.84, 5,372.13 and 2,124.47

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Solution

The fourth proportional to 3,892.84, 5,372.13 and 2,124.47 is: 2,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.84 : 5,372.13 = 2,124.47 : x
  2. Step 2: Convert to fraction form
    3,892.84/5,372.13 = 2,124.47/x
  3. Step 3: Cross multiply
    3,892.84x = 5,372.13 × 2,124.47
  4. Step 4: Simplify right side
    3,892.84x = 11,412,929.02
  5. Step 5: Solve for x
    x = 11,412,929.02/3,892.84
  6. Step 6: Final answer
    x = 2,931.77

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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.