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Finding the Fourth Proportional to 5,834.12, 8,051.13 and 3,181.47

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Solution

The fourth proportional to 5,834.12, 8,051.13 and 3,181.47 is: 4,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.12 : 8,051.13 = 3,181.47 : x
  2. Step 2: Convert to fraction form
    5,834.12/8,051.13 = 3,181.47/x
  3. Step 3: Cross multiply
    5,834.12x = 8,051.13 × 3,181.47
  4. Step 4: Simplify right side
    5,834.12x = 25,614,428.56
  5. Step 5: Solve for x
    x = 25,614,428.56/5,834.12
  6. Step 6: Final answer
    x = 4,390.45

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1.5x scale

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.