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Finding the Fourth Proportional to 5,834.96, 8,750.81 and 1,939.40

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Solution

The fourth proportional to 5,834.96, 8,750.81 and 1,939.40 is: 2,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.96 : 8,750.81 = 1,939.40 : x
  2. Step 2: Convert to fraction form
    5,834.96/8,750.81 = 1,939.40/x
  3. Step 3: Cross multiply
    5,834.96x = 8,750.81 × 1,939.40
  4. Step 4: Simplify right side
    5,834.96x = 16,971,267.46
  5. Step 5: Solve for x
    x = 16,971,267.46/5,834.96
  6. Step 6: Final answer
    x = 2,908.55

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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.