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Finding the Fourth Proportional to 3,467.32, 5,203.02 and 1,276.22

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Solution

The fourth proportional to 3,467.32, 5,203.02 and 1,276.22 is: 1,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.32 : 5,203.02 = 1,276.22 : x
  2. Step 2: Convert to fraction form
    3,467.32/5,203.02 = 1,276.22/x
  3. Step 3: Cross multiply
    3,467.32x = 5,203.02 × 1,276.22
  4. Step 4: Simplify right side
    3,467.32x = 6,640,198.18
  5. Step 5: Solve for x
    x = 6,640,198.18/3,467.32
  6. Step 6: Final answer
    x = 1,915.08

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