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Finding the Fourth Proportional to 3,881.76, 5,354.08 and 2,464

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Solution

The fourth proportional to 3,881.76, 5,354.08 and 2,464 is: 3,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.76 : 5,354.08 = 2,464 : x
  2. Step 2: Convert to fraction form
    3,881.76/5,354.08 = 2,464/x
  3. Step 3: Cross multiply
    3,881.76x = 5,354.08 × 2,464
  4. Step 4: Simplify right side
    3,881.76x = 13,192,453.12
  5. Step 5: Solve for x
    x = 13,192,453.12/3,881.76
  6. Step 6: Final answer
    x = 3,398.58

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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.