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Finding the Fourth Proportional to 5,793.26, 8,689.91 and 1,410.71

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Solution

The fourth proportional to 5,793.26, 8,689.91 and 1,410.71 is: 2,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.26 : 8,689.91 = 1,410.71 : x
  2. Step 2: Convert to fraction form
    5,793.26/8,689.91 = 1,410.71/x
  3. Step 3: Cross multiply
    5,793.26x = 8,689.91 × 1,410.71
  4. Step 4: Simplify right side
    5,793.26x = 12,258,935.88
  5. Step 5: Solve for x
    x = 12,258,935.88/5,793.26
  6. Step 6: Final answer
    x = 2,116.07

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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.