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Finding the Fourth Proportional to 5,509.02, 7,601.67 and 3,919.80

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Solution

The fourth proportional to 5,509.02, 7,601.67 and 3,919.80 is: 5,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.02 : 7,601.67 = 3,919.80 : x
  2. Step 2: Convert to fraction form
    5,509.02/7,601.67 = 3,919.80/x
  3. Step 3: Cross multiply
    5,509.02x = 7,601.67 × 3,919.80
  4. Step 4: Simplify right side
    5,509.02x = 29,797,026.07
  5. Step 5: Solve for x
    x = 29,797,026.07/5,509.02
  6. Step 6: Final answer
    x = 5,408.77

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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.