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Finding the Fourth Proportional to 3,468.94, 5,190.45 and 2,008.78

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Solution

The fourth proportional to 3,468.94, 5,190.45 and 2,008.78 is: 3,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.94 : 5,190.45 = 2,008.78 : x
  2. Step 2: Convert to fraction form
    3,468.94/5,190.45 = 2,008.78/x
  3. Step 3: Cross multiply
    3,468.94x = 5,190.45 × 2,008.78
  4. Step 4: Simplify right side
    3,468.94x = 10,426,472.15
  5. Step 5: Solve for x
    x = 10,426,472.15/3,468.94
  6. Step 6: Final answer
    x = 3,005.67

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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.