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Finding the Fourth Proportional to 5,165.91, 7,734.02 and 4,801.41

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Solution

The fourth proportional to 5,165.91, 7,734.02 and 4,801.41 is: 7,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.91 : 7,734.02 = 4,801.41 : x
  2. Step 2: Convert to fraction form
    5,165.91/7,734.02 = 4,801.41/x
  3. Step 3: Cross multiply
    5,165.91x = 7,734.02 × 4,801.41
  4. Step 4: Simplify right side
    5,165.91x = 37,134,176.96
  5. Step 5: Solve for x
    x = 37,134,176.96/5,165.91
  6. Step 6: Final answer
    x = 7,188.31

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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.