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Finding the Fourth Proportional to 5,164.67, 7,749.65 and 2,532.12

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Solution

The fourth proportional to 5,164.67, 7,749.65 and 2,532.12 is: 3,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.67 : 7,749.65 = 2,532.12 : x
  2. Step 2: Convert to fraction form
    5,164.67/7,749.65 = 2,532.12/x
  3. Step 3: Cross multiply
    5,164.67x = 7,749.65 × 2,532.12
  4. Step 4: Simplify right side
    5,164.67x = 19,623,031.10
  5. Step 5: Solve for x
    x = 19,623,031.10/5,164.67
  6. Step 6: Final answer
    x = 3,799.48

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1.5x scale

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.