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Finding the Fourth Proportional to 3,677.16, 5,074.58 and 1,998.64

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Solution

The fourth proportional to 3,677.16, 5,074.58 and 1,998.64 is: 2,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.16 : 5,074.58 = 1,998.64 : x
  2. Step 2: Convert to fraction form
    3,677.16/5,074.58 = 1,998.64/x
  3. Step 3: Cross multiply
    3,677.16x = 5,074.58 × 1,998.64
  4. Step 4: Simplify right side
    3,677.16x = 10,142,258.57
  5. Step 5: Solve for x
    x = 10,142,258.57/3,677.16
  6. Step 6: Final answer
    x = 2,758.18

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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.