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Finding the Fourth Proportional to 5,642.29, 7,787.22 and 3,518.17

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Solution

The fourth proportional to 5,642.29, 7,787.22 and 3,518.17 is: 4,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.29 : 7,787.22 = 3,518.17 : x
  2. Step 2: Convert to fraction form
    5,642.29/7,787.22 = 3,518.17/x
  3. Step 3: Cross multiply
    5,642.29x = 7,787.22 × 3,518.17
  4. Step 4: Simplify right side
    5,642.29x = 27,396,724.85
  5. Step 5: Solve for x
    x = 27,396,724.85/5,642.29
  6. Step 6: Final answer
    x = 4,855.60

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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.