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Finding the Fourth Proportional to 5,216.17, 7,828.82 and 3,021.88

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Solution

The fourth proportional to 5,216.17, 7,828.82 and 3,021.88 is: 4,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.17 : 7,828.82 = 3,021.88 : x
  2. Step 2: Convert to fraction form
    5,216.17/7,828.82 = 3,021.88/x
  3. Step 3: Cross multiply
    5,216.17x = 7,828.82 × 3,021.88
  4. Step 4: Simplify right side
    5,216.17x = 23,657,754.58
  5. Step 5: Solve for x
    x = 23,657,754.58/5,216.17
  6. Step 6: Final answer
    x = 4,535.46

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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.