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Finding the Fourth Proportional to 4,538.92, 6,807.03 and 1,766.02

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Solution

The fourth proportional to 4,538.92, 6,807.03 and 1,766.02 is: 2,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.92 : 6,807.03 = 1,766.02 : x
  2. Step 2: Convert to fraction form
    4,538.92/6,807.03 = 1,766.02/x
  3. Step 3: Cross multiply
    4,538.92x = 6,807.03 × 1,766.02
  4. Step 4: Simplify right side
    4,538.92x = 12,021,351.12
  5. Step 5: Solve for x
    x = 12,021,351.12/4,538.92
  6. Step 6: Final answer
    x = 2,648.50

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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.