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Finding the Fourth Proportional to 4,713.14, 6,504.12 and 2,617.26

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Solution

The fourth proportional to 4,713.14, 6,504.12 and 2,617.26 is: 3,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.14 : 6,504.12 = 2,617.26 : x
  2. Step 2: Convert to fraction form
    4,713.14/6,504.12 = 2,617.26/x
  3. Step 3: Cross multiply
    4,713.14x = 6,504.12 × 2,617.26
  4. Step 4: Simplify right side
    4,713.14x = 17,022,973.11
  5. Step 5: Solve for x
    x = 17,022,973.11/4,713.14
  6. Step 6: Final answer
    x = 3,611.81

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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.