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Finding the Fourth Proportional to 5,471.32, 8,208.90 and 3,416.92

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Solution

The fourth proportional to 5,471.32, 8,208.90 and 3,416.92 is: 5,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.32 : 8,208.90 = 3,416.92 : x
  2. Step 2: Convert to fraction form
    5,471.32/8,208.90 = 3,416.92/x
  3. Step 3: Cross multiply
    5,471.32x = 8,208.90 × 3,416.92
  4. Step 4: Simplify right side
    5,471.32x = 28,049,154.59
  5. Step 5: Solve for x
    x = 28,049,154.59/5,471.32
  6. Step 6: Final answer
    x = 5,126.58

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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.