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Finding the Fourth Proportional to 5,943.64, 8,202.46 and 3,291

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Solution

The fourth proportional to 5,943.64, 8,202.46 and 3,291 is: 4,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.64 : 8,202.46 = 3,291 : x
  2. Step 2: Convert to fraction form
    5,943.64/8,202.46 = 3,291/x
  3. Step 3: Cross multiply
    5,943.64x = 8,202.46 × 3,291
  4. Step 4: Simplify right side
    5,943.64x = 26,994,295.86
  5. Step 5: Solve for x
    x = 26,994,295.86/5,943.64
  6. Step 6: Final answer
    x = 4,541.71

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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.