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Finding the Fourth Proportional to 5,834.32, 8,750.43 and 1,885.41

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Solution

The fourth proportional to 5,834.32, 8,750.43 and 1,885.41 is: 2,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.32 : 8,750.43 = 1,885.41 : x
  2. Step 2: Convert to fraction form
    5,834.32/8,750.43 = 1,885.41/x
  3. Step 3: Cross multiply
    5,834.32x = 8,750.43 × 1,885.41
  4. Step 4: Simplify right side
    5,834.32x = 16,498,185.14
  5. Step 5: Solve for x
    x = 16,498,185.14/5,834.32
  6. Step 6: Final answer
    x = 2,827.78

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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.