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Finding the Fourth Proportional to 5,498.87, 8,234.42 and 3,644.37

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Solution

The fourth proportional to 5,498.87, 8,234.42 and 3,644.37 is: 5,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.87 : 8,234.42 = 3,644.37 : x
  2. Step 2: Convert to fraction form
    5,498.87/8,234.42 = 3,644.37/x
  3. Step 3: Cross multiply
    5,498.87x = 8,234.42 × 3,644.37
  4. Step 4: Simplify right side
    5,498.87x = 30,009,254.99
  5. Step 5: Solve for x
    x = 30,009,254.99/5,498.87
  6. Step 6: Final answer
    x = 5,457.35

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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.