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Finding the Fourth Proportional to 4,719.97, 7,073.25 and 3,477.61

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Solution

The fourth proportional to 4,719.97, 7,073.25 and 3,477.61 is: 5,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.97 : 7,073.25 = 3,477.61 : x
  2. Step 2: Convert to fraction form
    4,719.97/7,073.25 = 3,477.61/x
  3. Step 3: Cross multiply
    4,719.97x = 7,073.25 × 3,477.61
  4. Step 4: Simplify right side
    4,719.97x = 24,598,004.93
  5. Step 5: Solve for x
    x = 24,598,004.93/4,719.97
  6. Step 6: Final answer
    x = 5,211.47

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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.