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Finding the Fourth Proportional to 4,789.73, 7,184.90 and 1,502.96

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Solution

The fourth proportional to 4,789.73, 7,184.90 and 1,502.96 is: 2,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.73 : 7,184.90 = 1,502.96 : x
  2. Step 2: Convert to fraction form
    4,789.73/7,184.90 = 1,502.96/x
  3. Step 3: Cross multiply
    4,789.73x = 7,184.90 × 1,502.96
  4. Step 4: Simplify right side
    4,789.73x = 10,798,585.14
  5. Step 5: Solve for x
    x = 10,798,585.14/4,789.73
  6. Step 6: Final answer
    x = 2,254.53

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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.