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Finding the Fourth Proportional to 3,785.22, 5,679.90 and 2,866.50

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Solution

The fourth proportional to 3,785.22, 5,679.90 and 2,866.50 is: 4,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.22 : 5,679.90 = 2,866.50 : x
  2. Step 2: Convert to fraction form
    3,785.22/5,679.90 = 2,866.50/x
  3. Step 3: Cross multiply
    3,785.22x = 5,679.90 × 2,866.50
  4. Step 4: Simplify right side
    3,785.22x = 16,281,433.35
  5. Step 5: Solve for x
    x = 16,281,433.35/3,785.22
  6. Step 6: Final answer
    x = 4,301.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.