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Finding the Fourth Proportional to 3,766.05, 5,655.15 and 2,842.65

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Solution

The fourth proportional to 3,766.05, 5,655.15 and 2,842.65 is: 4,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.05 : 5,655.15 = 2,842.65 : x
  2. Step 2: Convert to fraction form
    3,766.05/5,655.15 = 2,842.65/x
  3. Step 3: Cross multiply
    3,766.05x = 5,655.15 × 2,842.65
  4. Step 4: Simplify right side
    3,766.05x = 16,075,612.15
  5. Step 5: Solve for x
    x = 16,075,612.15/3,766.05
  6. Step 6: Final answer
    x = 4,268.56

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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.