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Finding the Fourth Proportional to 4,507.06, 6,758.03 and 3,288.50

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Solution

The fourth proportional to 4,507.06, 6,758.03 and 3,288.50 is: 4,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.06 : 6,758.03 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    4,507.06/6,758.03 = 3,288.50/x
  3. Step 3: Cross multiply
    4,507.06x = 6,758.03 × 3,288.50
  4. Step 4: Simplify right side
    4,507.06x = 22,223,781.66
  5. Step 5: Solve for x
    x = 22,223,781.66/4,507.06
  6. Step 6: Final answer
    x = 4,930.88

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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.