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Finding the Fourth Proportional to 3,285.97, 4,905.55 and 3,170.63

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Solution

The fourth proportional to 3,285.97, 4,905.55 and 3,170.63 is: 4,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.97 : 4,905.55 = 3,170.63 : x
  2. Step 2: Convert to fraction form
    3,285.97/4,905.55 = 3,170.63/x
  3. Step 3: Cross multiply
    3,285.97x = 4,905.55 × 3,170.63
  4. Step 4: Simplify right side
    3,285.97x = 15,553,700.22
  5. Step 5: Solve for x
    x = 15,553,700.22/3,285.97
  6. Step 6: Final answer
    x = 4,733.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.