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Finding the Fourth Proportional to 5,618.16, 8,428.44 and 1,722.42

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Solution

The fourth proportional to 5,618.16, 8,428.44 and 1,722.42 is: 2,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.16 : 8,428.44 = 1,722.42 : x
  2. Step 2: Convert to fraction form
    5,618.16/8,428.44 = 1,722.42/x
  3. Step 3: Cross multiply
    5,618.16x = 8,428.44 × 1,722.42
  4. Step 4: Simplify right side
    5,618.16x = 14,517,313.62
  5. Step 5: Solve for x
    x = 14,517,313.62/5,618.16
  6. Step 6: Final answer
    x = 2,584.00

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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.