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Finding the Fourth Proportional to 3,809.52, 5,710.08 and 2,162.52

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Solution

The fourth proportional to 3,809.52, 5,710.08 and 2,162.52 is: 3,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,710.08 = 2,162.52 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,710.08 = 2,162.52/x
  3. Step 3: Cross multiply
    3,809.52x = 5,710.08 × 2,162.52
  4. Step 4: Simplify right side
    3,809.52x = 12,348,162.20
  5. Step 5: Solve for x
    x = 12,348,162.20/3,809.52
  6. Step 6: Final answer
    x = 3,241.40

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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.