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Finding the Fourth Proportional to 5,838.17, 8,757.17 and 1,455.66

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Solution

The fourth proportional to 5,838.17, 8,757.17 and 1,455.66 is: 2,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.17 : 8,757.17 = 1,455.66 : x
  2. Step 2: Convert to fraction form
    5,838.17/8,757.17 = 1,455.66/x
  3. Step 3: Cross multiply
    5,838.17x = 8,757.17 × 1,455.66
  4. Step 4: Simplify right side
    5,838.17x = 12,747,465.72
  5. Step 5: Solve for x
    x = 12,747,465.72/5,838.17
  6. Step 6: Final answer
    x = 2,183.47

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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.