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Finding the Fourth Proportional to 3,309.44, 4,964 and 2,008.16

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Solution

The fourth proportional to 3,309.44, 4,964 and 2,008.16 is: 3,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.44 : 4,964 = 2,008.16 : x
  2. Step 2: Convert to fraction form
    3,309.44/4,964 = 2,008.16/x
  3. Step 3: Cross multiply
    3,309.44x = 4,964 × 2,008.16
  4. Step 4: Simplify right side
    3,309.44x = 9,968,506.24
  5. Step 5: Solve for x
    x = 9,968,506.24/3,309.44
  6. Step 6: Final answer
    x = 3,012.14

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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.