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Finding the Fourth Proportional to 5,872.48, 8,794.14 and 4,109.23

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Solution

The fourth proportional to 5,872.48, 8,794.14 and 4,109.23 is: 6,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.48 : 8,794.14 = 4,109.23 : x
  2. Step 2: Convert to fraction form
    5,872.48/8,794.14 = 4,109.23/x
  3. Step 3: Cross multiply
    5,872.48x = 8,794.14 × 4,109.23
  4. Step 4: Simplify right side
    5,872.48x = 36,137,139.50
  5. Step 5: Solve for x
    x = 36,137,139.50/5,872.48
  6. Step 6: Final answer
    x = 6,153.64

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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.