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Finding the Fourth Proportional to 6,839.46, 10,254.92 and 2,888.68

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Solution

The fourth proportional to 6,839.46, 10,254.92 and 2,888.68 is: 4,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.46 : 10,254.92 = 2,888.68 : x
  2. Step 2: Convert to fraction form
    6,839.46/10,254.92 = 2,888.68/x
  3. Step 3: Cross multiply
    6,839.46x = 10,254.92 × 2,888.68
  4. Step 4: Simplify right side
    6,839.46x = 29,623,182.31
  5. Step 5: Solve for x
    x = 29,623,182.31/6,839.46
  6. Step 6: Final answer
    x = 4,331.22

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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.