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Finding the Fourth Proportional to 3,892.62, 5,371.77 and 2,124.26

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Solution

The fourth proportional to 3,892.62, 5,371.77 and 2,124.26 is: 2,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.62 : 5,371.77 = 2,124.26 : x
  2. Step 2: Convert to fraction form
    3,892.62/5,371.77 = 2,124.26/x
  3. Step 3: Cross multiply
    3,892.62x = 5,371.77 × 2,124.26
  4. Step 4: Simplify right side
    3,892.62x = 11,411,036.14
  5. Step 5: Solve for x
    x = 11,411,036.14/3,892.62
  6. Step 6: Final answer
    x = 2,931.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.