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Finding the Fourth Proportional to 3,862, 5,333.88 and 2,617.84

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Solution

The fourth proportional to 3,862, 5,333.88 and 2,617.84 is: 3,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862 : 5,333.88 = 2,617.84 : x
  2. Step 2: Convert to fraction form
    3,862/5,333.88 = 2,617.84/x
  3. Step 3: Cross multiply
    3,862x = 5,333.88 × 2,617.84
  4. Step 4: Simplify right side
    3,862x = 13,963,244.42
  5. Step 5: Solve for x
    x = 13,963,244.42/3,862
  6. Step 6: Final answer
    x = 3,615.55

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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.