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Finding the Fourth Proportional to 5,222.17, 7,835.95 and 3,468.39

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Solution

The fourth proportional to 5,222.17, 7,835.95 and 3,468.39 is: 5,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.17 : 7,835.95 = 3,468.39 : x
  2. Step 2: Convert to fraction form
    5,222.17/7,835.95 = 3,468.39/x
  3. Step 3: Cross multiply
    5,222.17x = 7,835.95 × 3,468.39
  4. Step 4: Simplify right side
    5,222.17x = 27,178,105.57
  5. Step 5: Solve for x
    x = 27,178,105.57/5,222.17
  6. Step 6: Final answer
    x = 5,204.37

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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.