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Finding the Fourth Proportional to 5,802.80, 8,008.56 and 3,822.17

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Solution

The fourth proportional to 5,802.80, 8,008.56 and 3,822.17 is: 5,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.80 : 8,008.56 = 3,822.17 : x
  2. Step 2: Convert to fraction form
    5,802.80/8,008.56 = 3,822.17/x
  3. Step 3: Cross multiply
    5,802.80x = 8,008.56 × 3,822.17
  4. Step 4: Simplify right side
    5,802.80x = 30,610,037.73
  5. Step 5: Solve for x
    x = 30,610,037.73/5,802.80
  6. Step 6: Final answer
    x = 5,275.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.