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Finding the Fourth Proportional to 5,471.46, 8,208.08 and 1,774.62

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Solution

The fourth proportional to 5,471.46, 8,208.08 and 1,774.62 is: 2,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.46 : 8,208.08 = 1,774.62 : x
  2. Step 2: Convert to fraction form
    5,471.46/8,208.08 = 1,774.62/x
  3. Step 3: Cross multiply
    5,471.46x = 8,208.08 × 1,774.62
  4. Step 4: Simplify right side
    5,471.46x = 14,566,222.93
  5. Step 5: Solve for x
    x = 14,566,222.93/5,471.46
  6. Step 6: Final answer
    x = 2,662.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.