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Finding the Fourth Proportional to 3,534.59, 5,299.71 and 1,194.38

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Solution

The fourth proportional to 3,534.59, 5,299.71 and 1,194.38 is: 1,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.59 : 5,299.71 = 1,194.38 : x
  2. Step 2: Convert to fraction form
    3,534.59/5,299.71 = 1,194.38/x
  3. Step 3: Cross multiply
    3,534.59x = 5,299.71 × 1,194.38
  4. Step 4: Simplify right side
    3,534.59x = 6,329,844.12
  5. Step 5: Solve for x
    x = 6,329,844.12/3,534.59
  6. Step 6: Final answer
    x = 1,790.83

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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.