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Finding the Fourth Proportional to 5,834.16, 8,050.86 and 3,181.41

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Solution

The fourth proportional to 5,834.16, 8,050.86 and 3,181.41 is: 4,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.16 : 8,050.86 = 3,181.41 : x
  2. Step 2: Convert to fraction form
    5,834.16/8,050.86 = 3,181.41/x
  3. Step 3: Cross multiply
    5,834.16x = 8,050.86 × 3,181.41
  4. Step 4: Simplify right side
    5,834.16x = 25,613,086.51
  5. Step 5: Solve for x
    x = 25,613,086.51/5,834.16
  6. Step 6: Final answer
    x = 4,390.19

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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.