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Finding the Fourth Proportional to 5,408.16, 8,114.76 and 5,320.80

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Solution

The fourth proportional to 5,408.16, 8,114.76 and 5,320.80 is: 7,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.16 : 8,114.76 = 5,320.80 : x
  2. Step 2: Convert to fraction form
    5,408.16/8,114.76 = 5,320.80/x
  3. Step 3: Cross multiply
    5,408.16x = 8,114.76 × 5,320.80
  4. Step 4: Simplify right side
    5,408.16x = 43,177,015.01
  5. Step 5: Solve for x
    x = 43,177,015.01/5,408.16
  6. Step 6: Final answer
    x = 7,983.68

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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.