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Finding the Fourth Proportional to 3,758.28, 5,609.87 and 3,488.01

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Solution

The fourth proportional to 3,758.28, 5,609.87 and 3,488.01 is: 5,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.28 : 5,609.87 = 3,488.01 : x
  2. Step 2: Convert to fraction form
    3,758.28/5,609.87 = 3,488.01/x
  3. Step 3: Cross multiply
    3,758.28x = 5,609.87 × 3,488.01
  4. Step 4: Simplify right side
    3,758.28x = 19,567,265.22
  5. Step 5: Solve for x
    x = 19,567,265.22/3,758.28
  6. Step 6: Final answer
    x = 5,206.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.