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Finding the Fourth Proportional to 3,530.75, 5,294.12 and 1,452.22

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Solution

The fourth proportional to 3,530.75, 5,294.12 and 1,452.22 is: 2,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.75 : 5,294.12 = 1,452.22 : x
  2. Step 2: Convert to fraction form
    3,530.75/5,294.12 = 1,452.22/x
  3. Step 3: Cross multiply
    3,530.75x = 5,294.12 × 1,452.22
  4. Step 4: Simplify right side
    3,530.75x = 7,688,217.34
  5. Step 5: Solve for x
    x = 7,688,217.34/3,530.75
  6. Step 6: Final answer
    x = 2,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.