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Finding the Fourth Proportional to 3,504.74, 5,228.38 and 3,409.39

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Solution

The fourth proportional to 3,504.74, 5,228.38 and 3,409.39 is: 5,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.74 : 5,228.38 = 3,409.39 : x
  2. Step 2: Convert to fraction form
    3,504.74/5,228.38 = 3,409.39/x
  3. Step 3: Cross multiply
    3,504.74x = 5,228.38 × 3,409.39
  4. Step 4: Simplify right side
    3,504.74x = 17,825,597.29
  5. Step 5: Solve for x
    x = 17,825,597.29/3,504.74
  6. Step 6: Final answer
    x = 5,086.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.