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Finding the Fourth Proportional to 3,774.71, 5,208.32 and 2,282.69

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Solution

The fourth proportional to 3,774.71, 5,208.32 and 2,282.69 is: 3,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.71 : 5,208.32 = 2,282.69 : x
  2. Step 2: Convert to fraction form
    3,774.71/5,208.32 = 2,282.69/x
  3. Step 3: Cross multiply
    3,774.71x = 5,208.32 × 2,282.69
  4. Step 4: Simplify right side
    3,774.71x = 11,888,979.98
  5. Step 5: Solve for x
    x = 11,888,979.98/3,774.71
  6. Step 6: Final answer
    x = 3,149.64

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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.