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Finding the Fourth Proportional to 5,144.70, 7,697.91 and 3,065.84

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Solution

The fourth proportional to 5,144.70, 7,697.91 and 3,065.84 is: 4,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.70 : 7,697.91 = 3,065.84 : x
  2. Step 2: Convert to fraction form
    5,144.70/7,697.91 = 3,065.84/x
  3. Step 3: Cross multiply
    5,144.70x = 7,697.91 × 3,065.84
  4. Step 4: Simplify right side
    5,144.70x = 23,600,560.39
  5. Step 5: Solve for x
    x = 23,600,560.39/5,144.70
  6. Step 6: Final answer
    x = 4,587.35

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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.