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Finding the Fourth Proportional to 5,941.60, 8,917.88 and 3,022

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Solution

The fourth proportional to 5,941.60, 8,917.88 and 3,022 is: 4,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.60 : 8,917.88 = 3,022 : x
  2. Step 2: Convert to fraction form
    5,941.60/8,917.88 = 3,022/x
  3. Step 3: Cross multiply
    5,941.60x = 8,917.88 × 3,022
  4. Step 4: Simplify right side
    5,941.60x = 26,949,833.36
  5. Step 5: Solve for x
    x = 26,949,833.36/5,941.60
  6. Step 6: Final answer
    x = 4,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.