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Finding the Fourth Proportional to 3,275.52, 4,520.96 and 2,228

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Solution

The fourth proportional to 3,275.52, 4,520.96 and 2,228 is: 3,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.52 : 4,520.96 = 2,228 : x
  2. Step 2: Convert to fraction form
    3,275.52/4,520.96 = 2,228/x
  3. Step 3: Cross multiply
    3,275.52x = 4,520.96 × 2,228
  4. Step 4: Simplify right side
    3,275.52x = 10,072,698.88
  5. Step 5: Solve for x
    x = 10,072,698.88/3,275.52
  6. Step 6: Final answer
    x = 3,075.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.