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Finding the Fourth Proportional to 5,814.36, 8,026.02 and 3,457.80

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Solution

The fourth proportional to 5,814.36, 8,026.02 and 3,457.80 is: 4,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.36 : 8,026.02 = 3,457.80 : x
  2. Step 2: Convert to fraction form
    5,814.36/8,026.02 = 3,457.80/x
  3. Step 3: Cross multiply
    5,814.36x = 8,026.02 × 3,457.80
  4. Step 4: Simplify right side
    5,814.36x = 27,752,371.96
  5. Step 5: Solve for x
    x = 27,752,371.96/5,814.36
  6. Step 6: Final answer
    x = 4,773.07

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