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Finding the Fourth Proportional to 4,932.40, 6,809.16 and 3,254.88

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Solution

The fourth proportional to 4,932.40, 6,809.16 and 3,254.88 is: 4,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.40 : 6,809.16 = 3,254.88 : x
  2. Step 2: Convert to fraction form
    4,932.40/6,809.16 = 3,254.88/x
  3. Step 3: Cross multiply
    4,932.40x = 6,809.16 × 3,254.88
  4. Step 4: Simplify right side
    4,932.40x = 22,162,998.70
  5. Step 5: Solve for x
    x = 22,162,998.70/4,932.40
  6. Step 6: Final answer
    x = 4,493.35

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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.