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Finding the Fourth Proportional to 4,141.64, 5,698.68 and 4,043.18

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Solution

The fourth proportional to 4,141.64, 5,698.68 and 4,043.18 is: 5,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.64 : 5,698.68 = 4,043.18 : x
  2. Step 2: Convert to fraction form
    4,141.64/5,698.68 = 4,043.18/x
  3. Step 3: Cross multiply
    4,141.64x = 5,698.68 × 4,043.18
  4. Step 4: Simplify right side
    4,141.64x = 23,040,789.00
  5. Step 5: Solve for x
    x = 23,040,789.00/4,141.64
  6. Step 6: Final answer
    x = 5,563.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.