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Finding the Fourth Proportional to 6,112.13, 8,434.53 and 3,459.48

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Solution

The fourth proportional to 6,112.13, 8,434.53 and 3,459.48 is: 4,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.13 : 8,434.53 = 3,459.48 : x
  2. Step 2: Convert to fraction form
    6,112.13/8,434.53 = 3,459.48/x
  3. Step 3: Cross multiply
    6,112.13x = 8,434.53 × 3,459.48
  4. Step 4: Simplify right side
    6,112.13x = 29,179,127.38
  5. Step 5: Solve for x
    x = 29,179,127.38/6,112.13
  6. Step 6: Final answer
    x = 4,773.97

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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.