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Finding the Fourth Proportional to 4,872.10, 6,724.97 and 4,216

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Solution

The fourth proportional to 4,872.10, 6,724.97 and 4,216 is: 5,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.10 : 6,724.97 = 4,216 : x
  2. Step 2: Convert to fraction form
    4,872.10/6,724.97 = 4,216/x
  3. Step 3: Cross multiply
    4,872.10x = 6,724.97 × 4,216
  4. Step 4: Simplify right side
    4,872.10x = 28,352,473.52
  5. Step 5: Solve for x
    x = 28,352,473.52/4,872.10
  6. Step 6: Final answer
    x = 5,819.35

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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.