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Finding the Fourth Proportional to 5,872.26, 8,795.97 and 4,014.66

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Solution

The fourth proportional to 5,872.26, 8,795.97 and 4,014.66 is: 6,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.26 : 8,795.97 = 4,014.66 : x
  2. Step 2: Convert to fraction form
    5,872.26/8,795.97 = 4,014.66/x
  3. Step 3: Cross multiply
    5,872.26x = 8,795.97 × 4,014.66
  4. Step 4: Simplify right side
    5,872.26x = 35,312,828.92
  5. Step 5: Solve for x
    x = 35,312,828.92/5,872.26
  6. Step 6: Final answer
    x = 6,013.50

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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.