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Finding the Fourth Proportional to 3,400.24, 5,099.52 and 934.94

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Solution

The fourth proportional to 3,400.24, 5,099.52 and 934.94 is: 1,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.24 : 5,099.52 = 934.94 : x
  2. Step 2: Convert to fraction form
    3,400.24/5,099.52 = 934.94/x
  3. Step 3: Cross multiply
    3,400.24x = 5,099.52 × 934.94
  4. Step 4: Simplify right side
    3,400.24x = 4,767,745.23
  5. Step 5: Solve for x
    x = 4,767,745.23/3,400.24
  6. Step 6: Final answer
    x = 1,402.18

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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.