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Finding the Fourth Proportional to 5,144.23, 7,679.08 and 4,521.41

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Solution

The fourth proportional to 5,144.23, 7,679.08 and 4,521.41 is: 6,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.23 : 7,679.08 = 4,521.41 : x
  2. Step 2: Convert to fraction form
    5,144.23/7,679.08 = 4,521.41/x
  3. Step 3: Cross multiply
    5,144.23x = 7,679.08 × 4,521.41
  4. Step 4: Simplify right side
    5,144.23x = 34,720,269.10
  5. Step 5: Solve for x
    x = 34,720,269.10/5,144.23
  6. Step 6: Final answer
    x = 6,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.