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Finding the Fourth Proportional to 3,474.90, 5,199.54 and 2,089.08

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Solution

The fourth proportional to 3,474.90, 5,199.54 and 2,089.08 is: 3,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.90 : 5,199.54 = 2,089.08 : x
  2. Step 2: Convert to fraction form
    3,474.90/5,199.54 = 2,089.08/x
  3. Step 3: Cross multiply
    3,474.90x = 5,199.54 × 2,089.08
  4. Step 4: Simplify right side
    3,474.90x = 10,862,255.02
  5. Step 5: Solve for x
    x = 10,862,255.02/3,474.90
  6. Step 6: Final answer
    x = 3,125.92

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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.