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Finding the Fourth Proportional to 5,583.08, 7,704.63 and 3,065.17

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Solution

The fourth proportional to 5,583.08, 7,704.63 and 3,065.17 is: 4,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.08 : 7,704.63 = 3,065.17 : x
  2. Step 2: Convert to fraction form
    5,583.08/7,704.63 = 3,065.17/x
  3. Step 3: Cross multiply
    5,583.08x = 7,704.63 × 3,065.17
  4. Step 4: Simplify right side
    5,583.08x = 23,616,000.74
  5. Step 5: Solve for x
    x = 23,616,000.74/5,583.08
  6. Step 6: Final answer
    x = 4,229.92

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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.