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Finding the Fourth Proportional to 4,821.72, 7,232.31 and 1,701.87

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Solution

The fourth proportional to 4,821.72, 7,232.31 and 1,701.87 is: 2,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.72 : 7,232.31 = 1,701.87 : x
  2. Step 2: Convert to fraction form
    4,821.72/7,232.31 = 1,701.87/x
  3. Step 3: Cross multiply
    4,821.72x = 7,232.31 × 1,701.87
  4. Step 4: Simplify right side
    4,821.72x = 12,308,451.42
  5. Step 5: Solve for x
    x = 12,308,451.42/4,821.72
  6. Step 6: Final answer
    x = 2,552.71

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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.