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Finding the Fourth Proportional to 3,274.66, 4,909.25 and 3,015.19

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Solution

The fourth proportional to 3,274.66, 4,909.25 and 3,015.19 is: 4,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.66 : 4,909.25 = 3,015.19 : x
  2. Step 2: Convert to fraction form
    3,274.66/4,909.25 = 3,015.19/x
  3. Step 3: Cross multiply
    3,274.66x = 4,909.25 × 3,015.19
  4. Step 4: Simplify right side
    3,274.66x = 14,802,296.96
  5. Step 5: Solve for x
    x = 14,802,296.96/3,274.66
  6. Step 6: Final answer
    x = 4,520.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.