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Finding the Fourth Proportional to 3,773.64, 5,662.08 and 2,309.16

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Solution

The fourth proportional to 3,773.64, 5,662.08 and 2,309.16 is: 3,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.64 : 5,662.08 = 2,309.16 : x
  2. Step 2: Convert to fraction form
    3,773.64/5,662.08 = 2,309.16/x
  3. Step 3: Cross multiply
    3,773.64x = 5,662.08 × 2,309.16
  4. Step 4: Simplify right side
    3,773.64x = 13,074,648.65
  5. Step 5: Solve for x
    x = 13,074,648.65/3,773.64
  6. Step 6: Final answer
    x = 3,464.73

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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.