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Finding the Fourth Proportional to 3,648.42, 5,472.72 and 2,184.30

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Solution

The fourth proportional to 3,648.42, 5,472.72 and 2,184.30 is: 3,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.42 : 5,472.72 = 2,184.30 : x
  2. Step 2: Convert to fraction form
    3,648.42/5,472.72 = 2,184.30/x
  3. Step 3: Cross multiply
    3,648.42x = 5,472.72 × 2,184.30
  4. Step 4: Simplify right side
    3,648.42x = 11,954,062.30
  5. Step 5: Solve for x
    x = 11,954,062.30/3,648.42
  6. Step 6: Final answer
    x = 3,276.50

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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.