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Finding the Fourth Proportional to 4,195.72, 6,297.94 and 4,101.59

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Solution

The fourth proportional to 4,195.72, 6,297.94 and 4,101.59 is: 6,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.72 : 6,297.94 = 4,101.59 : x
  2. Step 2: Convert to fraction form
    4,195.72/6,297.94 = 4,101.59/x
  3. Step 3: Cross multiply
    4,195.72x = 6,297.94 × 4,101.59
  4. Step 4: Simplify right side
    4,195.72x = 25,831,567.72
  5. Step 5: Solve for x
    x = 25,831,567.72/4,195.72
  6. Step 6: Final answer
    x = 6,156.65

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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.