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Finding the Fourth Proportional to 4,218.78, 6,328.17 and 4,011.42

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Solution

The fourth proportional to 4,218.78, 6,328.17 and 4,011.42 is: 6,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.78 : 6,328.17 = 4,011.42 : x
  2. Step 2: Convert to fraction form
    4,218.78/6,328.17 = 4,011.42/x
  3. Step 3: Cross multiply
    4,218.78x = 6,328.17 × 4,011.42
  4. Step 4: Simplify right side
    4,218.78x = 25,384,947.70
  5. Step 5: Solve for x
    x = 25,384,947.70/4,218.78
  6. Step 6: Final answer
    x = 6,017.13

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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.