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Finding the Fourth Proportional to 6,395, 8,825.46 and 3,600.68

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Solution

The fourth proportional to 6,395, 8,825.46 and 3,600.68 is: 4,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395 : 8,825.46 = 3,600.68 : x
  2. Step 2: Convert to fraction form
    6,395/8,825.46 = 3,600.68/x
  3. Step 3: Cross multiply
    6,395x = 8,825.46 × 3,600.68
  4. Step 4: Simplify right side
    6,395x = 31,777,657.31
  5. Step 5: Solve for x
    x = 31,777,657.31/6,395
  6. Step 6: Final answer
    x = 4,969.14

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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.