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Finding the Fourth Proportional to 5,834.21, 8,724.71 and 4,354.47

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Solution

The fourth proportional to 5,834.21, 8,724.71 and 4,354.47 is: 6,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.21 : 8,724.71 = 4,354.47 : x
  2. Step 2: Convert to fraction form
    5,834.21/8,724.71 = 4,354.47/x
  3. Step 3: Cross multiply
    5,834.21x = 8,724.71 × 4,354.47
  4. Step 4: Simplify right side
    5,834.21x = 37,991,466.18
  5. Step 5: Solve for x
    x = 37,991,466.18/5,834.21
  6. Step 6: Final answer
    x = 6,511.85

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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.