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Finding the Fourth Proportional to 3,533.94, 4,876.92 and 2,207.70

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Solution

The fourth proportional to 3,533.94, 4,876.92 and 2,207.70 is: 3,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.94 : 4,876.92 = 2,207.70 : x
  2. Step 2: Convert to fraction form
    3,533.94/4,876.92 = 2,207.70/x
  3. Step 3: Cross multiply
    3,533.94x = 4,876.92 × 2,207.70
  4. Step 4: Simplify right side
    3,533.94x = 10,766,776.28
  5. Step 5: Solve for x
    x = 10,766,776.28/3,533.94
  6. Step 6: Final answer
    x = 3,046.68

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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.