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Finding the Fourth Proportional to 4,517.72, 6,774.10 and 1,396.88

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Solution

The fourth proportional to 4,517.72, 6,774.10 and 1,396.88 is: 2,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.72 : 6,774.10 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    4,517.72/6,774.10 = 1,396.88/x
  3. Step 3: Cross multiply
    4,517.72x = 6,774.10 × 1,396.88
  4. Step 4: Simplify right side
    4,517.72x = 9,462,604.81
  5. Step 5: Solve for x
    x = 9,462,604.81/4,517.72
  6. Step 6: Final answer
    x = 2,094.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.