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Finding the Fourth Proportional to 4,357.92, 6,533.68 and 3,917.92

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Solution

The fourth proportional to 4,357.92, 6,533.68 and 3,917.92 is: 5,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.92 : 6,533.68 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    4,357.92/6,533.68 = 3,917.92/x
  3. Step 3: Cross multiply
    4,357.92x = 6,533.68 × 3,917.92
  4. Step 4: Simplify right side
    4,357.92x = 25,598,435.55
  5. Step 5: Solve for x
    x = 25,598,435.55/4,357.92
  6. Step 6: Final answer
    x = 5,874.00

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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.