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Finding the Fourth Proportional to 4,533.24, 6,803.24 and 1,760.36

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Solution

The fourth proportional to 4,533.24, 6,803.24 and 1,760.36 is: 2,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.24 : 6,803.24 = 1,760.36 : x
  2. Step 2: Convert to fraction form
    4,533.24/6,803.24 = 1,760.36/x
  3. Step 3: Cross multiply
    4,533.24x = 6,803.24 × 1,760.36
  4. Step 4: Simplify right side
    4,533.24x = 11,976,151.57
  5. Step 5: Solve for x
    x = 11,976,151.57/4,533.24
  6. Step 6: Final answer
    x = 2,641.85

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