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Finding the Fourth Proportional to 4,872.66, 6,725.79 and 2,778.18

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Solution

The fourth proportional to 4,872.66, 6,725.79 and 2,778.18 is: 3,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 6,725.79 = 2,778.18 : x
  2. Step 2: Convert to fraction form
    4,872.66/6,725.79 = 2,778.18/x
  3. Step 3: Cross multiply
    4,872.66x = 6,725.79 × 2,778.18
  4. Step 4: Simplify right side
    4,872.66x = 18,685,455.26
  5. Step 5: Solve for x
    x = 18,685,455.26/4,872.66
  6. Step 6: Final answer
    x = 3,834.75

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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.