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Finding the Fourth Proportional to 3,329.84, 4,589.64 and 2,384.13

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Solution

The fourth proportional to 3,329.84, 4,589.64 and 2,384.13 is: 3,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.84 : 4,589.64 = 2,384.13 : x
  2. Step 2: Convert to fraction form
    3,329.84/4,589.64 = 2,384.13/x
  3. Step 3: Cross multiply
    3,329.84x = 4,589.64 × 2,384.13
  4. Step 4: Simplify right side
    3,329.84x = 10,942,298.41
  5. Step 5: Solve for x
    x = 10,942,298.41/3,329.84
  6. Step 6: Final answer
    x = 3,286.14

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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.