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Finding the Fourth Proportional to 4,107.60, 6,159.02 and 2,023.06

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Solution

The fourth proportional to 4,107.60, 6,159.02 and 2,023.06 is: 3,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.60 : 6,159.02 = 2,023.06 : x
  2. Step 2: Convert to fraction form
    4,107.60/6,159.02 = 2,023.06/x
  3. Step 3: Cross multiply
    4,107.60x = 6,159.02 × 2,023.06
  4. Step 4: Simplify right side
    4,107.60x = 12,460,067.00
  5. Step 5: Solve for x
    x = 12,460,067.00/4,107.60
  6. Step 6: Final answer
    x = 3,033.42

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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.