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Finding the Fourth Proportional to 3,677.56, 5,074.32 and 2,350.24

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Solution

The fourth proportional to 3,677.56, 5,074.32 and 2,350.24 is: 3,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.56 : 5,074.32 = 2,350.24 : x
  2. Step 2: Convert to fraction form
    3,677.56/5,074.32 = 2,350.24/x
  3. Step 3: Cross multiply
    3,677.56x = 5,074.32 × 2,350.24
  4. Step 4: Simplify right side
    3,677.56x = 11,925,869.84
  5. Step 5: Solve for x
    x = 11,925,869.84/3,677.56
  6. Step 6: Final answer
    x = 3,242.88

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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.