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Finding the Fourth Proportional to 3,774.11, 5,207.22 and 2,359.22

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Solution

The fourth proportional to 3,774.11, 5,207.22 and 2,359.22 is: 3,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.11 : 5,207.22 = 2,359.22 : x
  2. Step 2: Convert to fraction form
    3,774.11/5,207.22 = 2,359.22/x
  3. Step 3: Cross multiply
    3,774.11x = 5,207.22 × 2,359.22
  4. Step 4: Simplify right side
    3,774.11x = 12,284,977.57
  5. Step 5: Solve for x
    x = 12,284,977.57/3,774.11
  6. Step 6: Final answer
    x = 3,255.07

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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.