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Finding the Fourth Proportional to 5,105.84, 7,658.76 and 1,408.44

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Solution

The fourth proportional to 5,105.84, 7,658.76 and 1,408.44 is: 2,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.84 : 7,658.76 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    5,105.84/7,658.76 = 1,408.44/x
  3. Step 3: Cross multiply
    5,105.84x = 7,658.76 × 1,408.44
  4. Step 4: Simplify right side
    5,105.84x = 10,786,903.93
  5. Step 5: Solve for x
    x = 10,786,903.93/5,105.84
  6. Step 6: Final answer
    x = 2,112.66

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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.