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Finding the Fourth Proportional to 3,671.02, 5,467.05 and 3,649.96

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Solution

The fourth proportional to 3,671.02, 5,467.05 and 3,649.96 is: 5,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.02 : 5,467.05 = 3,649.96 : x
  2. Step 2: Convert to fraction form
    3,671.02/5,467.05 = 3,649.96/x
  3. Step 3: Cross multiply
    3,671.02x = 5,467.05 × 3,649.96
  4. Step 4: Simplify right side
    3,671.02x = 19,954,513.82
  5. Step 5: Solve for x
    x = 19,954,513.82/3,671.02
  6. Step 6: Final answer
    x = 5,435.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.