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Finding the Fourth Proportional to 3,855.88, 5,320.92 and 2,284.48

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Solution

The fourth proportional to 3,855.88, 5,320.92 and 2,284.48 is: 3,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.88 : 5,320.92 = 2,284.48 : x
  2. Step 2: Convert to fraction form
    3,855.88/5,320.92 = 2,284.48/x
  3. Step 3: Cross multiply
    3,855.88x = 5,320.92 × 2,284.48
  4. Step 4: Simplify right side
    3,855.88x = 12,155,535.32
  5. Step 5: Solve for x
    x = 12,155,535.32/3,855.88
  6. Step 6: Final answer
    x = 3,152.47

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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.