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Finding the Fourth Proportional to 6,146.09, 8,479.20 and 3,784.13

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Solution

The fourth proportional to 6,146.09, 8,479.20 and 3,784.13 is: 5,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.09 : 8,479.20 = 3,784.13 : x
  2. Step 2: Convert to fraction form
    6,146.09/8,479.20 = 3,784.13/x
  3. Step 3: Cross multiply
    6,146.09x = 8,479.20 × 3,784.13
  4. Step 4: Simplify right side
    6,146.09x = 32,086,395.10
  5. Step 5: Solve for x
    x = 32,086,395.10/6,146.09
  6. Step 6: Final answer
    x = 5,220.62

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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.