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Finding the Fourth Proportional to 5,367.84, 8,052.49 and 1,856.90

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Solution

The fourth proportional to 5,367.84, 8,052.49 and 1,856.90 is: 2,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.84 : 8,052.49 = 1,856.90 : x
  2. Step 2: Convert to fraction form
    5,367.84/8,052.49 = 1,856.90/x
  3. Step 3: Cross multiply
    5,367.84x = 8,052.49 × 1,856.90
  4. Step 4: Simplify right side
    5,367.84x = 14,952,684.17
  5. Step 5: Solve for x
    x = 14,952,684.17/5,367.84
  6. Step 6: Final answer
    x = 2,785.61

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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.