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Finding the Fourth Proportional to 4,843.60, 7,267.04 and 2,378.48

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Solution

The fourth proportional to 4,843.60, 7,267.04 and 2,378.48 is: 3,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.60 : 7,267.04 = 2,378.48 : x
  2. Step 2: Convert to fraction form
    4,843.60/7,267.04 = 2,378.48/x
  3. Step 3: Cross multiply
    4,843.60x = 7,267.04 × 2,378.48
  4. Step 4: Simplify right side
    4,843.60x = 17,284,509.30
  5. Step 5: Solve for x
    x = 17,284,509.30/4,843.60
  6. Step 6: Final answer
    x = 3,568.53

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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.