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Finding the Fourth Proportional to 3,776.57, 5,639.42 and 3,084.62

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Solution

The fourth proportional to 3,776.57, 5,639.42 and 3,084.62 is: 4,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.57 : 5,639.42 = 3,084.62 : x
  2. Step 2: Convert to fraction form
    3,776.57/5,639.42 = 3,084.62/x
  3. Step 3: Cross multiply
    3,776.57x = 5,639.42 × 3,084.62
  4. Step 4: Simplify right side
    3,776.57x = 17,395,447.23
  5. Step 5: Solve for x
    x = 17,395,447.23/3,776.57
  6. Step 6: Final answer
    x = 4,606.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.