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Finding the Fourth Proportional to 3,646.89, 5,462.10 and 2,182.95

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Solution

The fourth proportional to 3,646.89, 5,462.10 and 2,182.95 is: 3,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.89 : 5,462.10 = 2,182.95 : x
  2. Step 2: Convert to fraction form
    3,646.89/5,462.10 = 2,182.95/x
  3. Step 3: Cross multiply
    3,646.89x = 5,462.10 × 2,182.95
  4. Step 4: Simplify right side
    3,646.89x = 11,923,491.20
  5. Step 5: Solve for x
    x = 11,923,491.20/3,646.89
  6. Step 6: Final answer
    x = 3,269.50

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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.