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Finding the Fourth Proportional to 5,471.86, 8,206.98 and 1,774.42

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Solution

The fourth proportional to 5,471.86, 8,206.98 and 1,774.42 is: 2,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.86 : 8,206.98 = 1,774.42 : x
  2. Step 2: Convert to fraction form
    5,471.86/8,206.98 = 1,774.42/x
  3. Step 3: Cross multiply
    5,471.86x = 8,206.98 × 1,774.42
  4. Step 4: Simplify right side
    5,471.86x = 14,562,629.45
  5. Step 5: Solve for x
    x = 14,562,629.45/5,471.86
  6. Step 6: Final answer
    x = 2,661.37

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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.