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Finding the Fourth Proportional to 3,309, 4,964.40 and 2,337

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Solution

The fourth proportional to 3,309, 4,964.40 and 2,337 is: 3,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309 : 4,964.40 = 2,337 : x
  2. Step 2: Convert to fraction form
    3,309/4,964.40 = 2,337/x
  3. Step 3: Cross multiply
    3,309x = 4,964.40 × 2,337
  4. Step 4: Simplify right side
    3,309x = 11,601,802.80
  5. Step 5: Solve for x
    x = 11,601,802.80/3,309
  6. Step 6: Final answer
    x = 3,506.14

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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.