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Finding the Fourth Proportional to 4,789.82, 6,614.10 and 3,533.05

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Solution

The fourth proportional to 4,789.82, 6,614.10 and 3,533.05 is: 4,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.82 : 6,614.10 = 3,533.05 : x
  2. Step 2: Convert to fraction form
    4,789.82/6,614.10 = 3,533.05/x
  3. Step 3: Cross multiply
    4,789.82x = 6,614.10 × 3,533.05
  4. Step 4: Simplify right side
    4,789.82x = 23,367,946.01
  5. Step 5: Solve for x
    x = 23,367,946.01/4,789.82
  6. Step 6: Final answer
    x = 4,878.67

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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.