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Finding the Fourth Proportional to 6,002.70, 8,283.62 and 3,350.06

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Solution

The fourth proportional to 6,002.70, 8,283.62 and 3,350.06 is: 4,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.70 : 8,283.62 = 3,350.06 : x
  2. Step 2: Convert to fraction form
    6,002.70/8,283.62 = 3,350.06/x
  3. Step 3: Cross multiply
    6,002.70x = 8,283.62 × 3,350.06
  4. Step 4: Simplify right side
    6,002.70x = 27,750,624.02
  5. Step 5: Solve for x
    x = 27,750,624.02/6,002.70
  6. Step 6: Final answer
    x = 4,623.02

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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.