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Finding the Fourth Proportional to 4,238.40, 6,350.64 and 4,076.40

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Solution

The fourth proportional to 4,238.40, 6,350.64 and 4,076.40 is: 6,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.40 : 6,350.64 = 4,076.40 : x
  2. Step 2: Convert to fraction form
    4,238.40/6,350.64 = 4,076.40/x
  3. Step 3: Cross multiply
    4,238.40x = 6,350.64 × 4,076.40
  4. Step 4: Simplify right side
    4,238.40x = 25,887,748.90
  5. Step 5: Solve for x
    x = 25,887,748.90/4,238.40
  6. Step 6: Final answer
    x = 6,107.91

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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.