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Finding the Fourth Proportional to 3,678.84, 5,520.69 and 3,084.71

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Solution

The fourth proportional to 3,678.84, 5,520.69 and 3,084.71 is: 4,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.84 : 5,520.69 = 3,084.71 : x
  2. Step 2: Convert to fraction form
    3,678.84/5,520.69 = 3,084.71/x
  3. Step 3: Cross multiply
    3,678.84x = 5,520.69 × 3,084.71
  4. Step 4: Simplify right side
    3,678.84x = 17,029,700.05
  5. Step 5: Solve for x
    x = 17,029,700.05/3,678.84
  6. Step 6: Final answer
    x = 4,629.10

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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.