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Finding the Fourth Proportional to 4,294.89, 6,431.13 and 2,343.06

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Solution

The fourth proportional to 4,294.89, 6,431.13 and 2,343.06 is: 3,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.89 : 6,431.13 = 2,343.06 : x
  2. Step 2: Convert to fraction form
    4,294.89/6,431.13 = 2,343.06/x
  3. Step 3: Cross multiply
    4,294.89x = 6,431.13 × 2,343.06
  4. Step 4: Simplify right side
    4,294.89x = 15,068,523.46
  5. Step 5: Solve for x
    x = 15,068,523.46/4,294.89
  6. Step 6: Final answer
    x = 3,508.48

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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.