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Finding the Fourth Proportional to 6,166.35, 8,511.75 and 3,649.35

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Solution

The fourth proportional to 6,166.35, 8,511.75 and 3,649.35 is: 5,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.35 : 8,511.75 = 3,649.35 : x
  2. Step 2: Convert to fraction form
    6,166.35/8,511.75 = 3,649.35/x
  3. Step 3: Cross multiply
    6,166.35x = 8,511.75 × 3,649.35
  4. Step 4: Simplify right side
    6,166.35x = 31,062,354.86
  5. Step 5: Solve for x
    x = 31,062,354.86/6,166.35
  6. Step 6: Final answer
    x = 5,037.40

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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.