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Finding the Fourth Proportional to 3,649.96, 5,476.96 and 2,264.04

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Solution

The fourth proportional to 3,649.96, 5,476.96 and 2,264.04 is: 3,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.96 : 5,476.96 = 2,264.04 : x
  2. Step 2: Convert to fraction form
    3,649.96/5,476.96 = 2,264.04/x
  3. Step 3: Cross multiply
    3,649.96x = 5,476.96 × 2,264.04
  4. Step 4: Simplify right side
    3,649.96x = 12,400,056.52
  5. Step 5: Solve for x
    x = 12,400,056.52/3,649.96
  6. Step 6: Final answer
    x = 3,397.31

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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.