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Finding the Fourth Proportional to 3,367.64, 4,647.56 and 2,317.88

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Solution

The fourth proportional to 3,367.64, 4,647.56 and 2,317.88 is: 3,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.64 : 4,647.56 = 2,317.88 : x
  2. Step 2: Convert to fraction form
    3,367.64/4,647.56 = 2,317.88/x
  3. Step 3: Cross multiply
    3,367.64x = 4,647.56 × 2,317.88
  4. Step 4: Simplify right side
    3,367.64x = 10,772,451.55
  5. Step 5: Solve for x
    x = 10,772,451.55/3,367.64
  6. Step 6: Final answer
    x = 3,198.82

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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.