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Finding the Fourth Proportional to 3,535.35, 5,301.72 and 1,069.44

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Solution

The fourth proportional to 3,535.35, 5,301.72 and 1,069.44 is: 1,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.35 : 5,301.72 = 1,069.44 : x
  2. Step 2: Convert to fraction form
    3,535.35/5,301.72 = 1,069.44/x
  3. Step 3: Cross multiply
    3,535.35x = 5,301.72 × 1,069.44
  4. Step 4: Simplify right side
    3,535.35x = 5,669,871.44
  5. Step 5: Solve for x
    x = 5,669,871.44/3,535.35
  6. Step 6: Final answer
    x = 1,603.77

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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.