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Finding the Fourth Proportional to 4,107.72, 5,669.64 and 2,339.88

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Solution

The fourth proportional to 4,107.72, 5,669.64 and 2,339.88 is: 3,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.72 : 5,669.64 = 2,339.88 : x
  2. Step 2: Convert to fraction form
    4,107.72/5,669.64 = 2,339.88/x
  3. Step 3: Cross multiply
    4,107.72x = 5,669.64 × 2,339.88
  4. Step 4: Simplify right side
    4,107.72x = 13,266,277.24
  5. Step 5: Solve for x
    x = 13,266,277.24/4,107.72
  6. Step 6: Final answer
    x = 3,229.60

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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.