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Finding the Fourth Proportional to 4,065.76, 5,610.76 and 2,202.76

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Solution

The fourth proportional to 4,065.76, 5,610.76 and 2,202.76 is: 3,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.76 : 5,610.76 = 2,202.76 : x
  2. Step 2: Convert to fraction form
    4,065.76/5,610.76 = 2,202.76/x
  3. Step 3: Cross multiply
    4,065.76x = 5,610.76 × 2,202.76
  4. Step 4: Simplify right side
    4,065.76x = 12,359,157.70
  5. Step 5: Solve for x
    x = 12,359,157.70/4,065.76
  6. Step 6: Final answer
    x = 3,039.81

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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.