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Finding the Fourth Proportional to 6,395.34, 8,825.28 and 3,742.98

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Solution

The fourth proportional to 6,395.34, 8,825.28 and 3,742.98 is: 5,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.34 : 8,825.28 = 3,742.98 : x
  2. Step 2: Convert to fraction form
    6,395.34/8,825.28 = 3,742.98/x
  3. Step 3: Cross multiply
    6,395.34x = 8,825.28 × 3,742.98
  4. Step 4: Simplify right side
    6,395.34x = 33,032,846.53
  5. Step 5: Solve for x
    x = 33,032,846.53/6,395.34
  6. Step 6: Final answer
    x = 5,165.14

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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.