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Finding the Fourth Proportional to 3,220.97, 4,411.64 and 3,031.84

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Solution

The fourth proportional to 3,220.97, 4,411.64 and 3,031.84 is: 4,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.97 : 4,411.64 = 3,031.84 : x
  2. Step 2: Convert to fraction form
    3,220.97/4,411.64 = 3,031.84/x
  3. Step 3: Cross multiply
    3,220.97x = 4,411.64 × 3,031.84
  4. Step 4: Simplify right side
    3,220.97x = 13,375,360.43
  5. Step 5: Solve for x
    x = 13,375,360.43/3,220.97
  6. Step 6: Final answer
    x = 4,152.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.