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Finding the Fourth Proportional to 3,454.62, 4,767.38 and 1,882.76

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Solution

The fourth proportional to 3,454.62, 4,767.38 and 1,882.76 is: 2,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.62 : 4,767.38 = 1,882.76 : x
  2. Step 2: Convert to fraction form
    3,454.62/4,767.38 = 1,882.76/x
  3. Step 3: Cross multiply
    3,454.62x = 4,767.38 × 1,882.76
  4. Step 4: Simplify right side
    3,454.62x = 8,975,832.37
  5. Step 5: Solve for x
    x = 8,975,832.37/3,454.62
  6. Step 6: Final answer
    x = 2,598.21

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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.