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Finding the Fourth Proportional to 4,294.30, 6,440.10 and 2,648.38

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Solution

The fourth proportional to 4,294.30, 6,440.10 and 2,648.38 is: 3,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.30 : 6,440.10 = 2,648.38 : x
  2. Step 2: Convert to fraction form
    4,294.30/6,440.10 = 2,648.38/x
  3. Step 3: Cross multiply
    4,294.30x = 6,440.10 × 2,648.38
  4. Step 4: Simplify right side
    4,294.30x = 17,055,832.04
  5. Step 5: Solve for x
    x = 17,055,832.04/4,294.30
  6. Step 6: Final answer
    x = 3,971.74

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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.