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Finding the Fourth Proportional to 3,774.87, 5,655.90 and 2,310.96

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Solution

The fourth proportional to 3,774.87, 5,655.90 and 2,310.96 is: 3,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.87 : 5,655.90 = 2,310.96 : x
  2. Step 2: Convert to fraction form
    3,774.87/5,655.90 = 2,310.96/x
  3. Step 3: Cross multiply
    3,774.87x = 5,655.90 × 2,310.96
  4. Step 4: Simplify right side
    3,774.87x = 13,070,567.33
  5. Step 5: Solve for x
    x = 13,070,567.33/3,774.87
  6. Step 6: Final answer
    x = 3,462.52

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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.