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Finding the Fourth Proportional to 5,974.81, 8,964.04 and 3,055.17

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Solution

The fourth proportional to 5,974.81, 8,964.04 and 3,055.17 is: 4,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.81 : 8,964.04 = 3,055.17 : x
  2. Step 2: Convert to fraction form
    5,974.81/8,964.04 = 3,055.17/x
  3. Step 3: Cross multiply
    5,974.81x = 8,964.04 × 3,055.17
  4. Step 4: Simplify right side
    5,974.81x = 27,386,605.99
  5. Step 5: Solve for x
    x = 27,386,605.99/5,974.81
  6. Step 6: Final answer
    x = 4,583.68

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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.