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Finding the Fourth Proportional to 3,283.75, 4,532.34 and 2,164.89

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Solution

The fourth proportional to 3,283.75, 4,532.34 and 2,164.89 is: 2,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.75 : 4,532.34 = 2,164.89 : x
  2. Step 2: Convert to fraction form
    3,283.75/4,532.34 = 2,164.89/x
  3. Step 3: Cross multiply
    3,283.75x = 4,532.34 × 2,164.89
  4. Step 4: Simplify right side
    3,283.75x = 9,812,006.72
  5. Step 5: Solve for x
    x = 9,812,006.72/3,283.75
  6. Step 6: Final answer
    x = 2,988.05

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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.