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Finding the Fourth Proportional to 3,774.75, 5,208.91 and 2,283.49

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Solution

The fourth proportional to 3,774.75, 5,208.91 and 2,283.49 is: 3,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.75 : 5,208.91 = 2,283.49 : x
  2. Step 2: Convert to fraction form
    3,774.75/5,208.91 = 2,283.49/x
  3. Step 3: Cross multiply
    3,774.75x = 5,208.91 × 2,283.49
  4. Step 4: Simplify right side
    3,774.75x = 11,894,494.70
  5. Step 5: Solve for x
    x = 11,894,494.70/3,774.75
  6. Step 6: Final answer
    x = 3,151.07

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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.