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Finding the Fourth Proportional to 4,884.57, 6,742.98 and 3,205.98

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Solution

The fourth proportional to 4,884.57, 6,742.98 and 3,205.98 is: 4,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.57 : 6,742.98 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    4,884.57/6,742.98 = 3,205.98/x
  3. Step 3: Cross multiply
    4,884.57x = 6,742.98 × 3,205.98
  4. Step 4: Simplify right side
    4,884.57x = 21,617,859.02
  5. Step 5: Solve for x
    x = 21,617,859.02/4,884.57
  6. Step 6: Final answer
    x = 4,425.74

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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.