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Finding the Fourth Proportional to 3,678.66, 5,074.29 and 2,185.56

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Solution

The fourth proportional to 3,678.66, 5,074.29 and 2,185.56 is: 3,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.66 : 5,074.29 = 2,185.56 : x
  2. Step 2: Convert to fraction form
    3,678.66/5,074.29 = 2,185.56/x
  3. Step 3: Cross multiply
    3,678.66x = 5,074.29 × 2,185.56
  4. Step 4: Simplify right side
    3,678.66x = 11,090,165.25
  5. Step 5: Solve for x
    x = 11,090,165.25/3,678.66
  6. Step 6: Final answer
    x = 3,014.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.