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Finding the Fourth Proportional to 5,617.96, 8,428.57 and 1,722.94

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Solution

The fourth proportional to 5,617.96, 8,428.57 and 1,722.94 is: 2,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.96 : 8,428.57 = 1,722.94 : x
  2. Step 2: Convert to fraction form
    5,617.96/8,428.57 = 1,722.94/x
  3. Step 3: Cross multiply
    5,617.96x = 8,428.57 × 1,722.94
  4. Step 4: Simplify right side
    5,617.96x = 14,521,920.40
  5. Step 5: Solve for x
    x = 14,521,920.40/5,617.96
  6. Step 6: Final answer
    x = 2,584.91

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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.