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Finding the Fourth Proportional to 6,184.69, 8,531.13 and 3,666

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Solution

The fourth proportional to 6,184.69, 8,531.13 and 3,666 is: 5,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.69 : 8,531.13 = 3,666 : x
  2. Step 2: Convert to fraction form
    6,184.69/8,531.13 = 3,666/x
  3. Step 3: Cross multiply
    6,184.69x = 8,531.13 × 3,666
  4. Step 4: Simplify right side
    6,184.69x = 31,275,122.58
  5. Step 5: Solve for x
    x = 31,275,122.58/6,184.69
  6. Step 6: Final answer
    x = 5,056.86

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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.