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Finding the Fourth Proportional to 4,583.46, 6,323.10 and 2,814.42

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Solution

The fourth proportional to 4,583.46, 6,323.10 and 2,814.42 is: 3,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583.46 : 6,323.10 = 2,814.42 : x
  2. Step 2: Convert to fraction form
    4,583.46/6,323.10 = 2,814.42/x
  3. Step 3: Cross multiply
    4,583.46x = 6,323.10 × 2,814.42
  4. Step 4: Simplify right side
    4,583.46x = 17,795,859.10
  5. Step 5: Solve for x
    x = 17,795,859.10/4,583.46
  6. Step 6: Final answer
    x = 3,882.63

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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.