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Finding the Fourth Proportional to 6,166.62, 8,514.05 and 3,649.55

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Solution

The fourth proportional to 6,166.62, 8,514.05 and 3,649.55 is: 5,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.62 : 8,514.05 = 3,649.55 : x
  2. Step 2: Convert to fraction form
    6,166.62/8,514.05 = 3,649.55/x
  3. Step 3: Cross multiply
    6,166.62x = 8,514.05 × 3,649.55
  4. Step 4: Simplify right side
    6,166.62x = 31,072,390.36
  5. Step 5: Solve for x
    x = 31,072,390.36/6,166.62
  6. Step 6: Final answer
    x = 5,038.80

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