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Finding the Fourth Proportional to 4,502.34, 6,753.21 and 1,540.50

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Solution

The fourth proportional to 4,502.34, 6,753.21 and 1,540.50 is: 2,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.34 : 6,753.21 = 1,540.50 : x
  2. Step 2: Convert to fraction form
    4,502.34/6,753.21 = 1,540.50/x
  3. Step 3: Cross multiply
    4,502.34x = 6,753.21 × 1,540.50
  4. Step 4: Simplify right side
    4,502.34x = 10,403,320.01
  5. Step 5: Solve for x
    x = 10,403,320.01/4,502.34
  6. Step 6: Final answer
    x = 2,310.65

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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.