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Finding the Fourth Proportional to 5,836.61, 8,753.83 and 1,887.95

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Solution

The fourth proportional to 5,836.61, 8,753.83 and 1,887.95 is: 2,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.61 : 8,753.83 = 1,887.95 : x
  2. Step 2: Convert to fraction form
    5,836.61/8,753.83 = 1,887.95/x
  3. Step 3: Cross multiply
    5,836.61x = 8,753.83 × 1,887.95
  4. Step 4: Simplify right side
    5,836.61x = 16,526,793.35
  5. Step 5: Solve for x
    x = 16,526,793.35/5,836.61
  6. Step 6: Final answer
    x = 2,831.57

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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.