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Finding the Fourth Proportional to 6,002.90, 8,283.57 and 3,349.94

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Solution

The fourth proportional to 6,002.90, 8,283.57 and 3,349.94 is: 4,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.90 : 8,283.57 = 3,349.94 : x
  2. Step 2: Convert to fraction form
    6,002.90/8,283.57 = 3,349.94/x
  3. Step 3: Cross multiply
    6,002.90x = 8,283.57 × 3,349.94
  4. Step 4: Simplify right side
    6,002.90x = 27,749,462.49
  5. Step 5: Solve for x
    x = 27,749,462.49/6,002.90
  6. Step 6: Final answer
    x = 4,622.68

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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.