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Finding the Fourth Proportional to 5,908.46, 8,862.53 and 1,465.97

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Solution

The fourth proportional to 5,908.46, 8,862.53 and 1,465.97 is: 2,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.46 : 8,862.53 = 1,465.97 : x
  2. Step 2: Convert to fraction form
    5,908.46/8,862.53 = 1,465.97/x
  3. Step 3: Cross multiply
    5,908.46x = 8,862.53 × 1,465.97
  4. Step 4: Simplify right side
    5,908.46x = 12,992,151.46
  5. Step 5: Solve for x
    x = 12,992,151.46/5,908.46
  6. Step 6: Final answer
    x = 2,198.91

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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.