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Finding the Fourth Proportional to 3,507.90, 5,265.90 and 2,122.80

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Solution

The fourth proportional to 3,507.90, 5,265.90 and 2,122.80 is: 3,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.90 : 5,265.90 = 2,122.80 : x
  2. Step 2: Convert to fraction form
    3,507.90/5,265.90 = 2,122.80/x
  3. Step 3: Cross multiply
    3,507.90x = 5,265.90 × 2,122.80
  4. Step 4: Simplify right side
    3,507.90x = 11,178,452.52
  5. Step 5: Solve for x
    x = 11,178,452.52/3,507.90
  6. Step 6: Final answer
    x = 3,186.65

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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.