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Finding the Fourth Proportional to 5,826.66, 8,740.19 and 1,930.96

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Solution

The fourth proportional to 5,826.66, 8,740.19 and 1,930.96 is: 2,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.66 : 8,740.19 = 1,930.96 : x
  2. Step 2: Convert to fraction form
    5,826.66/8,740.19 = 1,930.96/x
  3. Step 3: Cross multiply
    5,826.66x = 8,740.19 × 1,930.96
  4. Step 4: Simplify right side
    5,826.66x = 16,876,973.04
  5. Step 5: Solve for x
    x = 16,876,973.04/5,826.66
  6. Step 6: Final answer
    x = 2,896.51

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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.