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Finding the Fourth Proportional to 3,402.22, 4,691.37 and 2,956.18

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Solution

The fourth proportional to 3,402.22, 4,691.37 and 2,956.18 is: 4,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.22 : 4,691.37 = 2,956.18 : x
  2. Step 2: Convert to fraction form
    3,402.22/4,691.37 = 2,956.18/x
  3. Step 3: Cross multiply
    3,402.22x = 4,691.37 × 2,956.18
  4. Step 4: Simplify right side
    3,402.22x = 13,868,534.17
  5. Step 5: Solve for x
    x = 13,868,534.17/3,402.22
  6. Step 6: Final answer
    x = 4,076.32

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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.