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Finding the Fourth Proportional to 3,312.32, 4,573.01 and 2,194.21

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Solution

The fourth proportional to 3,312.32, 4,573.01 and 2,194.21 is: 3,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.32 : 4,573.01 = 2,194.21 : x
  2. Step 2: Convert to fraction form
    3,312.32/4,573.01 = 2,194.21/x
  3. Step 3: Cross multiply
    3,312.32x = 4,573.01 × 2,194.21
  4. Step 4: Simplify right side
    3,312.32x = 10,034,144.27
  5. Step 5: Solve for x
    x = 10,034,144.27/3,312.32
  6. Step 6: Final answer
    x = 3,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.