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Finding the Fourth Proportional to 5,669.92, 8,504.34 and 1,774

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Solution

The fourth proportional to 5,669.92, 8,504.34 and 1,774 is: 2,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.92 : 8,504.34 = 1,774 : x
  2. Step 2: Convert to fraction form
    5,669.92/8,504.34 = 1,774/x
  3. Step 3: Cross multiply
    5,669.92x = 8,504.34 × 1,774
  4. Step 4: Simplify right side
    5,669.92x = 15,086,699.16
  5. Step 5: Solve for x
    x = 15,086,699.16/5,669.92
  6. Step 6: Final answer
    x = 2,660.83

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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.