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Finding the Fourth Proportional to 3,716.52, 5,575.61 and 1,119.66

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Solution

The fourth proportional to 3,716.52, 5,575.61 and 1,119.66 is: 1,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.52 : 5,575.61 = 1,119.66 : x
  2. Step 2: Convert to fraction form
    3,716.52/5,575.61 = 1,119.66/x
  3. Step 3: Cross multiply
    3,716.52x = 5,575.61 × 1,119.66
  4. Step 4: Simplify right side
    3,716.52x = 6,242,754.02
  5. Step 5: Solve for x
    x = 6,242,754.02/3,716.52
  6. Step 6: Final answer
    x = 1,679.73

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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.