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Finding the Fourth Proportional to 3,775.62, 5,655.33 and 2,311.14

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Solution

The fourth proportional to 3,775.62, 5,655.33 and 2,311.14 is: 3,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.62 : 5,655.33 = 2,311.14 : x
  2. Step 2: Convert to fraction form
    3,775.62/5,655.33 = 2,311.14/x
  3. Step 3: Cross multiply
    3,775.62x = 5,655.33 × 2,311.14
  4. Step 4: Simplify right side
    3,775.62x = 13,070,259.38
  5. Step 5: Solve for x
    x = 13,070,259.38/3,775.62
  6. Step 6: Final answer
    x = 3,461.75

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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.