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Finding the Fourth Proportional to 5,152.68, 7,729.02 and 3,408.84

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Solution

The fourth proportional to 5,152.68, 7,729.02 and 3,408.84 is: 5,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.68 : 7,729.02 = 3,408.84 : x
  2. Step 2: Convert to fraction form
    5,152.68/7,729.02 = 3,408.84/x
  3. Step 3: Cross multiply
    5,152.68x = 7,729.02 × 3,408.84
  4. Step 4: Simplify right side
    5,152.68x = 26,346,992.54
  5. Step 5: Solve for x
    x = 26,346,992.54/5,152.68
  6. Step 6: Final answer
    x = 5,113.26

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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.