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Finding the Fourth Proportional to 6,197.17, 8,552.10 and 3,402.67

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Solution

The fourth proportional to 6,197.17, 8,552.10 and 3,402.67 is: 4,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.17 : 8,552.10 = 3,402.67 : x
  2. Step 2: Convert to fraction form
    6,197.17/8,552.10 = 3,402.67/x
  3. Step 3: Cross multiply
    6,197.17x = 8,552.10 × 3,402.67
  4. Step 4: Simplify right side
    6,197.17x = 29,099,974.11
  5. Step 5: Solve for x
    x = 29,099,974.11/6,197.17
  6. Step 6: Final answer
    x = 4,695.69

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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.