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Finding the Fourth Proportional to 3,879.52, 5,353.74 and 2,307.76

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Solution

The fourth proportional to 3,879.52, 5,353.74 and 2,307.76 is: 3,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.52 : 5,353.74 = 2,307.76 : x
  2. Step 2: Convert to fraction form
    3,879.52/5,353.74 = 2,307.76/x
  3. Step 3: Cross multiply
    3,879.52x = 5,353.74 × 2,307.76
  4. Step 4: Simplify right side
    3,879.52x = 12,355,147.02
  5. Step 5: Solve for x
    x = 12,355,147.02/3,879.52
  6. Step 6: Final answer
    x = 3,184.71

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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.