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Finding the Fourth Proportional to 4,562.34, 6,834.33 and 3,827.94

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Solution

The fourth proportional to 4,562.34, 6,834.33 and 3,827.94 is: 5,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.34 : 6,834.33 = 3,827.94 : x
  2. Step 2: Convert to fraction form
    4,562.34/6,834.33 = 3,827.94/x
  3. Step 3: Cross multiply
    4,562.34x = 6,834.33 × 3,827.94
  4. Step 4: Simplify right side
    4,562.34x = 26,161,405.18
  5. Step 5: Solve for x
    x = 26,161,405.18/4,562.34
  6. Step 6: Final answer
    x = 5,734.21

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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.