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Finding the Fourth Proportional to 4,821.73, 7,232.96 and 1,701.61

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Solution

The fourth proportional to 4,821.73, 7,232.96 and 1,701.61 is: 2,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.73 : 7,232.96 = 1,701.61 : x
  2. Step 2: Convert to fraction form
    4,821.73/7,232.96 = 1,701.61/x
  3. Step 3: Cross multiply
    4,821.73x = 7,232.96 × 1,701.61
  4. Step 4: Simplify right side
    4,821.73x = 12,307,663.24
  5. Step 5: Solve for x
    x = 12,307,663.24/4,821.73
  6. Step 6: Final answer
    x = 2,552.54

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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.