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Finding the Fourth Proportional to 3,252.40, 4,871.40 and 2,676.40

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Solution

The fourth proportional to 3,252.40, 4,871.40 and 2,676.40 is: 4,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.40 : 4,871.40 = 2,676.40 : x
  2. Step 2: Convert to fraction form
    3,252.40/4,871.40 = 2,676.40/x
  3. Step 3: Cross multiply
    3,252.40x = 4,871.40 × 2,676.40
  4. Step 4: Simplify right side
    3,252.40x = 13,037,814.96
  5. Step 5: Solve for x
    x = 13,037,814.96/3,252.40
  6. Step 6: Final answer
    x = 4,008.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.