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Finding the Fourth Proportional to 4,065.69, 5,610.65 and 2,202.69

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Solution

The fourth proportional to 4,065.69, 5,610.65 and 2,202.69 is: 3,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.69 : 5,610.65 = 2,202.69 : x
  2. Step 2: Convert to fraction form
    4,065.69/5,610.65 = 2,202.69/x
  3. Step 3: Cross multiply
    4,065.69x = 5,610.65 × 2,202.69
  4. Step 4: Simplify right side
    4,065.69x = 12,358,522.65
  5. Step 5: Solve for x
    x = 12,358,522.65/4,065.69
  6. Step 6: Final answer
    x = 3,039.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.