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Finding the Fourth Proportional to 5,814.28, 8,026.19 and 3,457.18

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Solution

The fourth proportional to 5,814.28, 8,026.19 and 3,457.18 is: 4,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.28 : 8,026.19 = 3,457.18 : x
  2. Step 2: Convert to fraction form
    5,814.28/8,026.19 = 3,457.18/x
  3. Step 3: Cross multiply
    5,814.28x = 8,026.19 × 3,457.18
  4. Step 4: Simplify right side
    5,814.28x = 27,747,983.54
  5. Step 5: Solve for x
    x = 27,747,983.54/5,814.28
  6. Step 6: Final answer
    x = 4,772.39

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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.