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Finding the Fourth Proportional to 3,271.42, 4,872.49 and 3,255.49

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Solution

The fourth proportional to 3,271.42, 4,872.49 and 3,255.49 is: 4,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.42 : 4,872.49 = 3,255.49 : x
  2. Step 2: Convert to fraction form
    3,271.42/4,872.49 = 3,255.49/x
  3. Step 3: Cross multiply
    3,271.42x = 4,872.49 × 3,255.49
  4. Step 4: Simplify right side
    3,271.42x = 15,862,326.19
  5. Step 5: Solve for x
    x = 15,862,326.19/3,271.42
  6. Step 6: Final answer
    x = 4,848.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.