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Finding the Fourth Proportional to 3,892.34, 5,371.43 and 2,124.05

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Solution

The fourth proportional to 3,892.34, 5,371.43 and 2,124.05 is: 2,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.34 : 5,371.43 = 2,124.05 : x
  2. Step 2: Convert to fraction form
    3,892.34/5,371.43 = 2,124.05/x
  3. Step 3: Cross multiply
    3,892.34x = 5,371.43 × 2,124.05
  4. Step 4: Simplify right side
    3,892.34x = 11,409,148.41
  5. Step 5: Solve for x
    x = 11,409,148.41/3,892.34
  6. Step 6: Final answer
    x = 2,931.18

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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.