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Finding the Fourth Proportional to 3,874.01, 5,347.08 and 2,458.53

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Solution

The fourth proportional to 3,874.01, 5,347.08 and 2,458.53 is: 3,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.01 : 5,347.08 = 2,458.53 : x
  2. Step 2: Convert to fraction form
    3,874.01/5,347.08 = 2,458.53/x
  3. Step 3: Cross multiply
    3,874.01x = 5,347.08 × 2,458.53
  4. Step 4: Simplify right side
    3,874.01x = 13,145,956.59
  5. Step 5: Solve for x
    x = 13,145,956.59/3,874.01
  6. Step 6: Final answer
    x = 3,393.38

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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.