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Finding the Fourth Proportional to 4,876.84, 6,728.80 and 2,886.56

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Solution

The fourth proportional to 4,876.84, 6,728.80 and 2,886.56 is: 3,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.84 : 6,728.80 = 2,886.56 : x
  2. Step 2: Convert to fraction form
    4,876.84/6,728.80 = 2,886.56/x
  3. Step 3: Cross multiply
    4,876.84x = 6,728.80 × 2,886.56
  4. Step 4: Simplify right side
    4,876.84x = 19,423,084.93
  5. Step 5: Solve for x
    x = 19,423,084.93/4,876.84
  6. Step 6: Final answer
    x = 3,982.72

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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.