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Finding the Fourth Proportional to 4,294.89, 6,440.13 and 2,540.43

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Solution

The fourth proportional to 4,294.89, 6,440.13 and 2,540.43 is: 3,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.89 : 6,440.13 = 2,540.43 : x
  2. Step 2: Convert to fraction form
    4,294.89/6,440.13 = 2,540.43/x
  3. Step 3: Cross multiply
    4,294.89x = 6,440.13 × 2,540.43
  4. Step 4: Simplify right side
    4,294.89x = 16,360,699.46
  5. Step 5: Solve for x
    x = 16,360,699.46/4,294.89
  6. Step 6: Final answer
    x = 3,809.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.