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Finding the Fourth Proportional to 6,002.98, 8,282.79 and 3,483.64

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Solution

The fourth proportional to 6,002.98, 8,282.79 and 3,483.64 is: 4,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.98 : 8,282.79 = 3,483.64 : x
  2. Step 2: Convert to fraction form
    6,002.98/8,282.79 = 3,483.64/x
  3. Step 3: Cross multiply
    6,002.98x = 8,282.79 × 3,483.64
  4. Step 4: Simplify right side
    6,002.98x = 28,854,258.56
  5. Step 5: Solve for x
    x = 28,854,258.56/6,002.98
  6. Step 6: Final answer
    x = 4,806.66

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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.