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Finding the Fourth Proportional to 4,966.84, 6,854.32 and 2,728.93

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Solution

The fourth proportional to 4,966.84, 6,854.32 and 2,728.93 is: 3,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.84 : 6,854.32 = 2,728.93 : x
  2. Step 2: Convert to fraction form
    4,966.84/6,854.32 = 2,728.93/x
  3. Step 3: Cross multiply
    4,966.84x = 6,854.32 × 2,728.93
  4. Step 4: Simplify right side
    4,966.84x = 18,704,959.48
  5. Step 5: Solve for x
    x = 18,704,959.48/4,966.84
  6. Step 6: Final answer
    x = 3,765.97

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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.