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Finding the Fourth Proportional to 5,644.42, 8,448.90 and 3,879.10

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Solution

The fourth proportional to 5,644.42, 8,448.90 and 3,879.10 is: 5,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.42 : 8,448.90 = 3,879.10 : x
  2. Step 2: Convert to fraction form
    5,644.42/8,448.90 = 3,879.10/x
  3. Step 3: Cross multiply
    5,644.42x = 8,448.90 × 3,879.10
  4. Step 4: Simplify right side
    5,644.42x = 32,774,127.99
  5. Step 5: Solve for x
    x = 32,774,127.99/5,644.42
  6. Step 6: Final answer
    x = 5,806.47

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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.