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Finding the Fourth Proportional to 5,834.70, 8,753.13 and 1,886.99

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Solution

The fourth proportional to 5,834.70, 8,753.13 and 1,886.99 is: 2,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.70 : 8,753.13 = 1,886.99 : x
  2. Step 2: Convert to fraction form
    5,834.70/8,753.13 = 1,886.99/x
  3. Step 3: Cross multiply
    5,834.70x = 8,753.13 × 1,886.99
  4. Step 4: Simplify right side
    5,834.70x = 16,517,025.01
  5. Step 5: Solve for x
    x = 16,517,025.01/5,834.70
  6. Step 6: Final answer
    x = 2,830.83

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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.