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Finding the Fourth Proportional to 5,614.89, 7,748.07 and 3,257.16

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Solution

The fourth proportional to 5,614.89, 7,748.07 and 3,257.16 is: 4,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.89 : 7,748.07 = 3,257.16 : x
  2. Step 2: Convert to fraction form
    5,614.89/7,748.07 = 3,257.16/x
  3. Step 3: Cross multiply
    5,614.89x = 7,748.07 × 3,257.16
  4. Step 4: Simplify right side
    5,614.89x = 25,236,703.68
  5. Step 5: Solve for x
    x = 25,236,703.68/5,614.89
  6. Step 6: Final answer
    x = 4,494.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.