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Finding the Fourth Proportional to 4,734.28, 6,533.22 and 2,609.83

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Solution

The fourth proportional to 4,734.28, 6,533.22 and 2,609.83 is: 3,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.28 : 6,533.22 = 2,609.83 : x
  2. Step 2: Convert to fraction form
    4,734.28/6,533.22 = 2,609.83/x
  3. Step 3: Cross multiply
    4,734.28x = 6,533.22 × 2,609.83
  4. Step 4: Simplify right side
    4,734.28x = 17,050,593.55
  5. Step 5: Solve for x
    x = 17,050,593.55/4,734.28
  6. Step 6: Final answer
    x = 3,601.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.