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Finding the Fourth Proportional to 3,505.30, 4,822.41 and 3,408.10

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Solution

The fourth proportional to 3,505.30, 4,822.41 and 3,408.10 is: 4,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.30 : 4,822.41 = 3,408.10 : x
  2. Step 2: Convert to fraction form
    3,505.30/4,822.41 = 3,408.10/x
  3. Step 3: Cross multiply
    3,505.30x = 4,822.41 × 3,408.10
  4. Step 4: Simplify right side
    3,505.30x = 16,435,255.52
  5. Step 5: Solve for x
    x = 16,435,255.52/3,505.30
  6. Step 6: Final answer
    x = 4,688.69

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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.