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Finding the Fourth Proportional to 6,596.50, 9,103.17 and 3,802

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Solution

The fourth proportional to 6,596.50, 9,103.17 and 3,802 is: 5,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.50 : 9,103.17 = 3,802 : x
  2. Step 2: Convert to fraction form
    6,596.50/9,103.17 = 3,802/x
  3. Step 3: Cross multiply
    6,596.50x = 9,103.17 × 3,802
  4. Step 4: Simplify right side
    6,596.50x = 34,610,252.34
  5. Step 5: Solve for x
    x = 34,610,252.34/6,596.50
  6. Step 6: Final answer
    x = 5,246.76

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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.