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Finding the Fourth Proportional to 4,107.09, 5,668.01 and 2,535.21

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Solution

The fourth proportional to 4,107.09, 5,668.01 and 2,535.21 is: 3,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.09 : 5,668.01 = 2,535.21 : x
  2. Step 2: Convert to fraction form
    4,107.09/5,668.01 = 2,535.21/x
  3. Step 3: Cross multiply
    4,107.09x = 5,668.01 × 2,535.21
  4. Step 4: Simplify right side
    4,107.09x = 14,369,573.63
  5. Step 5: Solve for x
    x = 14,369,573.63/4,107.09
  6. Step 6: Final answer
    x = 3,498.73

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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.