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Finding the Fourth Proportional to 5,232.76, 7,846.19 and 1,721.82

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Solution

The fourth proportional to 5,232.76, 7,846.19 and 1,721.82 is: 2,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.76 : 7,846.19 = 1,721.82 : x
  2. Step 2: Convert to fraction form
    5,232.76/7,846.19 = 1,721.82/x
  3. Step 3: Cross multiply
    5,232.76x = 7,846.19 × 1,721.82
  4. Step 4: Simplify right side
    5,232.76x = 13,509,718.26
  5. Step 5: Solve for x
    x = 13,509,718.26/5,232.76
  6. Step 6: Final answer
    x = 2,581.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.