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Finding the Fourth Proportional to 3,321.74, 4,582.26 and 2,534.42

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Solution

The fourth proportional to 3,321.74, 4,582.26 and 2,534.42 is: 3,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.74 : 4,582.26 = 2,534.42 : x
  2. Step 2: Convert to fraction form
    3,321.74/4,582.26 = 2,534.42/x
  3. Step 3: Cross multiply
    3,321.74x = 4,582.26 × 2,534.42
  4. Step 4: Simplify right side
    3,321.74x = 11,613,371.39
  5. Step 5: Solve for x
    x = 11,613,371.39/3,321.74
  6. Step 6: Final answer
    x = 3,496.17

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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.