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Finding the Fourth Proportional to 4,165.66, 6,218.09 and 3,640.18

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Solution

The fourth proportional to 4,165.66, 6,218.09 and 3,640.18 is: 5,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.66 : 6,218.09 = 3,640.18 : x
  2. Step 2: Convert to fraction form
    4,165.66/6,218.09 = 3,640.18/x
  3. Step 3: Cross multiply
    4,165.66x = 6,218.09 × 3,640.18
  4. Step 4: Simplify right side
    4,165.66x = 22,634,966.86
  5. Step 5: Solve for x
    x = 22,634,966.86/4,165.66
  6. Step 6: Final answer
    x = 5,433.70

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