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Finding the Fourth Proportional to 3,530.33, 5,296.19 and 1,065.05

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Solution

The fourth proportional to 3,530.33, 5,296.19 and 1,065.05 is: 1,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.33 : 5,296.19 = 1,065.05 : x
  2. Step 2: Convert to fraction form
    3,530.33/5,296.19 = 1,065.05/x
  3. Step 3: Cross multiply
    3,530.33x = 5,296.19 × 1,065.05
  4. Step 4: Simplify right side
    3,530.33x = 5,640,701.83
  5. Step 5: Solve for x
    x = 5,640,701.83/3,530.33
  6. Step 6: Final answer
    x = 1,597.78

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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.