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Finding the Fourth Proportional to 3,774.57, 5,207.65 and 2,281.92

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Solution

The fourth proportional to 3,774.57, 5,207.65 and 2,281.92 is: 3,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.57 : 5,207.65 = 2,281.92 : x
  2. Step 2: Convert to fraction form
    3,774.57/5,207.65 = 2,281.92/x
  3. Step 3: Cross multiply
    3,774.57x = 5,207.65 × 2,281.92
  4. Step 4: Simplify right side
    3,774.57x = 11,883,440.69
  5. Step 5: Solve for x
    x = 11,883,440.69/3,774.57
  6. Step 6: Final answer
    x = 3,148.29

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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.