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Finding the Fourth Proportional to 6,166.36, 8,510.22 and 3,649.28

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Solution

The fourth proportional to 6,166.36, 8,510.22 and 3,649.28 is: 5,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.36 : 8,510.22 = 3,649.28 : x
  2. Step 2: Convert to fraction form
    6,166.36/8,510.22 = 3,649.28/x
  3. Step 3: Cross multiply
    6,166.36x = 8,510.22 × 3,649.28
  4. Step 4: Simplify right side
    6,166.36x = 31,056,175.64
  5. Step 5: Solve for x
    x = 31,056,175.64/6,166.36
  6. Step 6: Final answer
    x = 5,036.39

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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.