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Finding the Fourth Proportional to 5,944.80, 8,917.20 and 4,101.60

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Solution

The fourth proportional to 5,944.80, 8,917.20 and 4,101.60 is: 6,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.80 : 8,917.20 = 4,101.60 : x
  2. Step 2: Convert to fraction form
    5,944.80/8,917.20 = 4,101.60/x
  3. Step 3: Cross multiply
    5,944.80x = 8,917.20 × 4,101.60
  4. Step 4: Simplify right side
    5,944.80x = 36,574,787.52
  5. Step 5: Solve for x
    x = 36,574,787.52/5,944.80
  6. Step 6: Final answer
    x = 6,152.40

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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.