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Finding the Fourth Proportional to 3,530.40, 5,296.20 and 1,065

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Solution

The fourth proportional to 3,530.40, 5,296.20 and 1,065 is: 1,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.40 : 5,296.20 = 1,065 : x
  2. Step 2: Convert to fraction form
    3,530.40/5,296.20 = 1,065/x
  3. Step 3: Cross multiply
    3,530.40x = 5,296.20 × 1,065
  4. Step 4: Simplify right side
    3,530.40x = 5,640,453
  5. Step 5: Solve for x
    x = 5,640,453/3,530.40
  6. Step 6: Final answer
    x = 1,597.68

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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.