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Finding the Fourth Proportional to 3,364.25, 4,649.07 and 2,523.50

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Solution

The fourth proportional to 3,364.25, 4,649.07 and 2,523.50 is: 3,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.25 : 4,649.07 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    3,364.25/4,649.07 = 2,523.50/x
  3. Step 3: Cross multiply
    3,364.25x = 4,649.07 × 2,523.50
  4. Step 4: Simplify right side
    3,364.25x = 11,731,911.62
  5. Step 5: Solve for x
    x = 11,731,911.62/3,364.25
  6. Step 6: Final answer
    x = 3,487.23

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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.