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Finding the Fourth Proportional to 5,793.29, 8,689.81 and 1,410.77

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Solution

The fourth proportional to 5,793.29, 8,689.81 and 1,410.77 is: 2,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.29 : 8,689.81 = 1,410.77 : x
  2. Step 2: Convert to fraction form
    5,793.29/8,689.81 = 1,410.77/x
  3. Step 3: Cross multiply
    5,793.29x = 8,689.81 × 1,410.77
  4. Step 4: Simplify right side
    5,793.29x = 12,259,323.25
  5. Step 5: Solve for x
    x = 12,259,323.25/5,793.29
  6. Step 6: Final answer
    x = 2,116.12

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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.