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Finding the Fourth Proportional to 4,191.84, 6,275.16 and 2,872.80

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Solution

The fourth proportional to 4,191.84, 6,275.16 and 2,872.80 is: 4,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.84 : 6,275.16 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    4,191.84/6,275.16 = 2,872.80/x
  3. Step 3: Cross multiply
    4,191.84x = 6,275.16 × 2,872.80
  4. Step 4: Simplify right side
    4,191.84x = 18,027,279.65
  5. Step 5: Solve for x
    x = 18,027,279.65/4,191.84
  6. Step 6: Final answer
    x = 4,300.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.