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Finding the Fourth Proportional to 4,857.64, 7,286.46 and 2,262.40

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Solution

The fourth proportional to 4,857.64, 7,286.46 and 2,262.40 is: 3,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.64 : 7,286.46 = 2,262.40 : x
  2. Step 2: Convert to fraction form
    4,857.64/7,286.46 = 2,262.40/x
  3. Step 3: Cross multiply
    4,857.64x = 7,286.46 × 2,262.40
  4. Step 4: Simplify right side
    4,857.64x = 16,484,887.10
  5. Step 5: Solve for x
    x = 16,484,887.10/4,857.64
  6. Step 6: Final answer
    x = 3,393.60

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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.