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Finding the Fourth Proportional to 3,532.08, 4,872.24 and 2,290.08

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Solution

The fourth proportional to 3,532.08, 4,872.24 and 2,290.08 is: 3,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.08 : 4,872.24 = 2,290.08 : x
  2. Step 2: Convert to fraction form
    3,532.08/4,872.24 = 2,290.08/x
  3. Step 3: Cross multiply
    3,532.08x = 4,872.24 × 2,290.08
  4. Step 4: Simplify right side
    3,532.08x = 11,157,819.38
  5. Step 5: Solve for x
    x = 11,157,819.38/3,532.08
  6. Step 6: Final answer
    x = 3,158.99

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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.