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Finding the Fourth Proportional to 4,340.57, 6,508.34 and 3,821.61

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Solution

The fourth proportional to 4,340.57, 6,508.34 and 3,821.61 is: 5,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.57 : 6,508.34 = 3,821.61 : x
  2. Step 2: Convert to fraction form
    4,340.57/6,508.34 = 3,821.61/x
  3. Step 3: Cross multiply
    4,340.57x = 6,508.34 × 3,821.61
  4. Step 4: Simplify right side
    4,340.57x = 24,872,337.23
  5. Step 5: Solve for x
    x = 24,872,337.23/4,340.57
  6. Step 6: Final answer
    x = 5,730.21

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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.