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Finding the Fourth Proportional to 5,135.64, 7,701.92 and 2,669.11

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Solution

The fourth proportional to 5,135.64, 7,701.92 and 2,669.11 is: 4,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.64 : 7,701.92 = 2,669.11 : x
  2. Step 2: Convert to fraction form
    5,135.64/7,701.92 = 2,669.11/x
  3. Step 3: Cross multiply
    5,135.64x = 7,701.92 × 2,669.11
  4. Step 4: Simplify right side
    5,135.64x = 20,557,292.42
  5. Step 5: Solve for x
    x = 20,557,292.42/5,135.64
  6. Step 6: Final answer
    x = 4,002.87

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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.