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Finding the Fourth Proportional to 3,501.62, 5,252.40 and 1,193.12

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Solution

The fourth proportional to 3,501.62, 5,252.40 and 1,193.12 is: 1,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.62 : 5,252.40 = 1,193.12 : x
  2. Step 2: Convert to fraction form
    3,501.62/5,252.40 = 1,193.12/x
  3. Step 3: Cross multiply
    3,501.62x = 5,252.40 × 1,193.12
  4. Step 4: Simplify right side
    3,501.62x = 6,266,743.49
  5. Step 5: Solve for x
    x = 6,266,743.49/3,501.62
  6. Step 6: Final answer
    x = 1,789.67

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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.