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Finding the Fourth Proportional to 3,765.26, 5,646.70 and 3,519.57

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Solution

The fourth proportional to 3,765.26, 5,646.70 and 3,519.57 is: 5,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.26 : 5,646.70 = 3,519.57 : x
  2. Step 2: Convert to fraction form
    3,765.26/5,646.70 = 3,519.57/x
  3. Step 3: Cross multiply
    3,765.26x = 5,646.70 × 3,519.57
  4. Step 4: Simplify right side
    3,765.26x = 19,873,955.92
  5. Step 5: Solve for x
    x = 19,873,955.92/3,765.26
  6. Step 6: Final answer
    x = 5,278.24

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