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Finding the Fourth Proportional to 4,572.87, 6,854.36 and 2,227.70

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Solution

The fourth proportional to 4,572.87, 6,854.36 and 2,227.70 is: 3,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.87 : 6,854.36 = 2,227.70 : x
  2. Step 2: Convert to fraction form
    4,572.87/6,854.36 = 2,227.70/x
  3. Step 3: Cross multiply
    4,572.87x = 6,854.36 × 2,227.70
  4. Step 4: Simplify right side
    4,572.87x = 15,269,423.50
  5. Step 5: Solve for x
    x = 15,269,423.50/4,572.87
  6. Step 6: Final answer
    x = 3,339.14

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Why These Related Problems?

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