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Finding the Fourth Proportional to 4,533.28, 6,795.84 and 2,191.84

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Solution

The fourth proportional to 4,533.28, 6,795.84 and 2,191.84 is: 3,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.28 : 6,795.84 = 2,191.84 : x
  2. Step 2: Convert to fraction form
    4,533.28/6,795.84 = 2,191.84/x
  3. Step 3: Cross multiply
    4,533.28x = 6,795.84 × 2,191.84
  4. Step 4: Simplify right side
    4,533.28x = 14,895,393.95
  5. Step 5: Solve for x
    x = 14,895,393.95/4,533.28
  6. Step 6: Final answer
    x = 3,285.79

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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.