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Finding the Fourth Proportional to 5,408.78, 7,462.94 and 3,520.16

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Solution

The fourth proportional to 5,408.78, 7,462.94 and 3,520.16 is: 4,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.78 : 7,462.94 = 3,520.16 : x
  2. Step 2: Convert to fraction form
    5,408.78/7,462.94 = 3,520.16/x
  3. Step 3: Cross multiply
    5,408.78x = 7,462.94 × 3,520.16
  4. Step 4: Simplify right side
    5,408.78x = 26,270,715.94
  5. Step 5: Solve for x
    x = 26,270,715.94/5,408.78
  6. Step 6: Final answer
    x = 4,857.05

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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.