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Finding the Fourth Proportional to 4,724.38, 6,502.03 and 3,776.68

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Solution

The fourth proportional to 4,724.38, 6,502.03 and 3,776.68 is: 5,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.38 : 6,502.03 = 3,776.68 : x
  2. Step 2: Convert to fraction form
    4,724.38/6,502.03 = 3,776.68/x
  3. Step 3: Cross multiply
    4,724.38x = 6,502.03 × 3,776.68
  4. Step 4: Simplify right side
    4,724.38x = 24,556,086.66
  5. Step 5: Solve for x
    x = 24,556,086.66/4,724.38
  6. Step 6: Final answer
    x = 5,197.74

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Why These Related Problems?

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