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Finding the Fourth Proportional to 3,887.64, 5,816.85 and 2,419.92

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Solution

The fourth proportional to 3,887.64, 5,816.85 and 2,419.92 is: 3,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.64 : 5,816.85 = 2,419.92 : x
  2. Step 2: Convert to fraction form
    3,887.64/5,816.85 = 2,419.92/x
  3. Step 3: Cross multiply
    3,887.64x = 5,816.85 × 2,419.92
  4. Step 4: Simplify right side
    3,887.64x = 14,076,311.65
  5. Step 5: Solve for x
    x = 14,076,311.65/3,887.64
  6. Step 6: Final answer
    x = 3,620.79

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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.