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Finding the Fourth Proportional to 5,834.85, 8,752.82 and 2,324.01

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Solution

The fourth proportional to 5,834.85, 8,752.82 and 2,324.01 is: 3,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.85 : 8,752.82 = 2,324.01 : x
  2. Step 2: Convert to fraction form
    5,834.85/8,752.82 = 2,324.01/x
  3. Step 3: Cross multiply
    5,834.85x = 8,752.82 × 2,324.01
  4. Step 4: Simplify right side
    5,834.85x = 20,341,641.21
  5. Step 5: Solve for x
    x = 20,341,641.21/5,834.85
  6. Step 6: Final answer
    x = 3,486.23

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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.