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Finding the Fourth Proportional to 3,766.65, 5,646.74 and 2,202.81

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Solution

The fourth proportional to 3,766.65, 5,646.74 and 2,202.81 is: 3,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.65 : 5,646.74 = 2,202.81 : x
  2. Step 2: Convert to fraction form
    3,766.65/5,646.74 = 2,202.81/x
  3. Step 3: Cross multiply
    3,766.65x = 5,646.74 × 2,202.81
  4. Step 4: Simplify right side
    3,766.65x = 12,438,684.33
  5. Step 5: Solve for x
    x = 12,438,684.33/3,766.65
  6. Step 6: Final answer
    x = 3,302.32

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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.