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Finding the Fourth Proportional to 4,562.40, 6,843.60 and 4,238.40

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Solution

The fourth proportional to 4,562.40, 6,843.60 and 4,238.40 is: 6,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.40 : 6,843.60 = 4,238.40 : x
  2. Step 2: Convert to fraction form
    4,562.40/6,843.60 = 4,238.40/x
  3. Step 3: Cross multiply
    4,562.40x = 6,843.60 × 4,238.40
  4. Step 4: Simplify right side
    4,562.40x = 29,005,914.24
  5. Step 5: Solve for x
    x = 29,005,914.24/4,562.40
  6. Step 6: Final answer
    x = 6,357.60

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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.