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Finding the Fourth Proportional to 3,412.53, 4,704.89 and 2,233.17

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Solution

The fourth proportional to 3,412.53, 4,704.89 and 2,233.17 is: 3,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.53 : 4,704.89 = 2,233.17 : x
  2. Step 2: Convert to fraction form
    3,412.53/4,704.89 = 2,233.17/x
  3. Step 3: Cross multiply
    3,412.53x = 4,704.89 × 2,233.17
  4. Step 4: Simplify right side
    3,412.53x = 10,506,808.04
  5. Step 5: Solve for x
    x = 10,506,808.04/3,412.53
  6. Step 6: Final answer
    x = 3,078.89

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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.