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Finding the Fourth Proportional to 4,243.64, 6,375.84 and 4,007.60

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Solution

The fourth proportional to 4,243.64, 6,375.84 and 4,007.60 is: 6,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.64 : 6,375.84 = 4,007.60 : x
  2. Step 2: Convert to fraction form
    4,243.64/6,375.84 = 4,007.60/x
  3. Step 3: Cross multiply
    4,243.64x = 6,375.84 × 4,007.60
  4. Step 4: Simplify right side
    4,243.64x = 25,551,815.93
  5. Step 5: Solve for x
    x = 25,551,815.93/4,243.64
  6. Step 6: Final answer
    x = 6,021.20

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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.