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Finding the Fourth Proportional to 6,216.50, 8,582.33 and 4,098.20

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Solution

The fourth proportional to 6,216.50, 8,582.33 and 4,098.20 is: 5,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.50 : 8,582.33 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    6,216.50/8,582.33 = 4,098.20/x
  3. Step 3: Cross multiply
    6,216.50x = 8,582.33 × 4,098.20
  4. Step 4: Simplify right side
    6,216.50x = 35,172,072.14
  5. Step 5: Solve for x
    x = 35,172,072.14/6,216.50
  6. Step 6: Final answer
    x = 5,657.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.