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Finding the Fourth Proportional to 3,894.27, 5,373.90 and 2,402.31

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Solution

The fourth proportional to 3,894.27, 5,373.90 and 2,402.31 is: 3,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.27 : 5,373.90 = 2,402.31 : x
  2. Step 2: Convert to fraction form
    3,894.27/5,373.90 = 2,402.31/x
  3. Step 3: Cross multiply
    3,894.27x = 5,373.90 × 2,402.31
  4. Step 4: Simplify right side
    3,894.27x = 12,909,773.71
  5. Step 5: Solve for x
    x = 12,909,773.71/3,894.27
  6. Step 6: Final answer
    x = 3,315.07

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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.