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Finding the Fourth Proportional to 4,550, 6,815.08 and 2,789.66

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Solution

The fourth proportional to 4,550, 6,815.08 and 2,789.66 is: 4,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550 : 6,815.08 = 2,789.66 : x
  2. Step 2: Convert to fraction form
    4,550/6,815.08 = 2,789.66/x
  3. Step 3: Cross multiply
    4,550x = 6,815.08 × 2,789.66
  4. Step 4: Simplify right side
    4,550x = 19,011,756.07
  5. Step 5: Solve for x
    x = 19,011,756.07/4,550
  6. Step 6: Final answer
    x = 4,178.41

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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.