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Finding the Fourth Proportional to 3,665.36, 5,498.04 and 1,069.04

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Solution

The fourth proportional to 3,665.36, 5,498.04 and 1,069.04 is: 1,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.36 : 5,498.04 = 1,069.04 : x
  2. Step 2: Convert to fraction form
    3,665.36/5,498.04 = 1,069.04/x
  3. Step 3: Cross multiply
    3,665.36x = 5,498.04 × 1,069.04
  4. Step 4: Simplify right side
    3,665.36x = 5,877,624.68
  5. Step 5: Solve for x
    x = 5,877,624.68/3,665.36
  6. Step 6: Final answer
    x = 1,603.56

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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.