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Finding the Fourth Proportional to 3,264.03, 4,893.21 and 1,415.21

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Solution

The fourth proportional to 3,264.03, 4,893.21 and 1,415.21 is: 2,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.03 : 4,893.21 = 1,415.21 : x
  2. Step 2: Convert to fraction form
    3,264.03/4,893.21 = 1,415.21/x
  3. Step 3: Cross multiply
    3,264.03x = 4,893.21 × 1,415.21
  4. Step 4: Simplify right side
    3,264.03x = 6,924,895.26
  5. Step 5: Solve for x
    x = 6,924,895.26/3,264.03
  6. Step 6: Final answer
    x = 2,121.58

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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.