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Finding the Fourth Proportional to 3,634.64, 5,015.16 and 2,218.16

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Solution

The fourth proportional to 3,634.64, 5,015.16 and 2,218.16 is: 3,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.64 : 5,015.16 = 2,218.16 : x
  2. Step 2: Convert to fraction form
    3,634.64/5,015.16 = 2,218.16/x
  3. Step 3: Cross multiply
    3,634.64x = 5,015.16 × 2,218.16
  4. Step 4: Simplify right side
    3,634.64x = 11,124,427.31
  5. Step 5: Solve for x
    x = 11,124,427.31/3,634.64
  6. Step 6: Final answer
    x = 3,060.67

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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.