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Finding the Fourth Proportional to 3,256.20, 4,301.10 and 3,256.20

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Solution

The fourth proportional to 3,256.20, 4,301.10 and 3,256.20 is: 4,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.20 : 4,301.10 = 3,256.20 : x
  2. Step 2: Convert to fraction form
    3,256.20/4,301.10 = 3,256.20/x
  3. Step 3: Cross multiply
    3,256.20x = 4,301.10 × 3,256.20
  4. Step 4: Simplify right side
    3,256.20x = 14,005,241.82
  5. Step 5: Solve for x
    x = 14,005,241.82/3,256.20
  6. Step 6: Final answer
    x = 4,301.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.