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Finding the Fourth Proportional to 3,275.34, 4,519.89 and 1,878

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Solution

The fourth proportional to 3,275.34, 4,519.89 and 1,878 is: 2,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.34 : 4,519.89 = 1,878 : x
  2. Step 2: Convert to fraction form
    3,275.34/4,519.89 = 1,878/x
  3. Step 3: Cross multiply
    3,275.34x = 4,519.89 × 1,878
  4. Step 4: Simplify right side
    3,275.34x = 8,488,353.42
  5. Step 5: Solve for x
    x = 8,488,353.42/3,275.34
  6. Step 6: Final answer
    x = 2,591.59

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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.