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Finding the Fourth Proportional to 4,142.45, 6,174.38 and 3,826.45

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Solution

The fourth proportional to 4,142.45, 6,174.38 and 3,826.45 is: 5,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.45 : 6,174.38 = 3,826.45 : x
  2. Step 2: Convert to fraction form
    4,142.45/6,174.38 = 3,826.45/x
  3. Step 3: Cross multiply
    4,142.45x = 6,174.38 × 3,826.45
  4. Step 4: Simplify right side
    4,142.45x = 23,625,973.64
  5. Step 5: Solve for x
    x = 23,625,973.64/4,142.45
  6. Step 6: Final answer
    x = 5,703.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.