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Finding the Fourth Proportional to 6,016.40, 8,302.46 and 3,364.05

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Solution

The fourth proportional to 6,016.40, 8,302.46 and 3,364.05 is: 4,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.40 : 8,302.46 = 3,364.05 : x
  2. Step 2: Convert to fraction form
    6,016.40/8,302.46 = 3,364.05/x
  3. Step 3: Cross multiply
    6,016.40x = 8,302.46 × 3,364.05
  4. Step 4: Simplify right side
    6,016.40x = 27,929,873.74
  5. Step 5: Solve for x
    x = 27,929,873.74/6,016.40
  6. Step 6: Final answer
    x = 4,642.29

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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.