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Finding the Fourth Proportional to 3,468.69, 5,204.35 and 2,082.99

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Solution

The fourth proportional to 3,468.69, 5,204.35 and 2,082.99 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.69 : 5,204.35 = 2,082.99 : x
  2. Step 2: Convert to fraction form
    3,468.69/5,204.35 = 2,082.99/x
  3. Step 3: Cross multiply
    3,468.69x = 5,204.35 × 2,082.99
  4. Step 4: Simplify right side
    3,468.69x = 10,840,598.59
  5. Step 5: Solve for x
    x = 10,840,598.59/3,468.69
  6. Step 6: Final answer
    x = 3,125.27

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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.