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Finding the Fourth Proportional to 5,164.24, 7,708.52 and 4,438.48

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Solution

The fourth proportional to 5,164.24, 7,708.52 and 4,438.48 is: 6,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.24 : 7,708.52 = 4,438.48 : x
  2. Step 2: Convert to fraction form
    5,164.24/7,708.52 = 4,438.48/x
  3. Step 3: Cross multiply
    5,164.24x = 7,708.52 × 4,438.48
  4. Step 4: Simplify right side
    5,164.24x = 34,214,111.85
  5. Step 5: Solve for x
    x = 34,214,111.85/5,164.24
  6. Step 6: Final answer
    x = 6,625.20

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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.