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Finding the Fourth Proportional to 5,943.54, 8,202.15 and 3,291

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Solution

The fourth proportional to 5,943.54, 8,202.15 and 3,291 is: 4,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.54 : 8,202.15 = 3,291 : x
  2. Step 2: Convert to fraction form
    5,943.54/8,202.15 = 3,291/x
  3. Step 3: Cross multiply
    5,943.54x = 8,202.15 × 3,291
  4. Step 4: Simplify right side
    5,943.54x = 26,993,275.65
  5. Step 5: Solve for x
    x = 26,993,275.65/5,943.54
  6. Step 6: Final answer
    x = 4,541.62

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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.