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Finding the Fourth Proportional to 4,966.46, 6,853.70 and 2,728.48

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Solution

The fourth proportional to 4,966.46, 6,853.70 and 2,728.48 is: 3,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.46 : 6,853.70 = 2,728.48 : x
  2. Step 2: Convert to fraction form
    4,966.46/6,853.70 = 2,728.48/x
  3. Step 3: Cross multiply
    4,966.46x = 6,853.70 × 2,728.48
  4. Step 4: Simplify right side
    4,966.46x = 18,700,173.06
  5. Step 5: Solve for x
    x = 18,700,173.06/4,966.46
  6. Step 6: Final answer
    x = 3,765.29

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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.