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Finding the Fourth Proportional to 3,533.57, 4,876.20 and 1,961.63

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Solution

The fourth proportional to 3,533.57, 4,876.20 and 1,961.63 is: 2,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.57 : 4,876.20 = 1,961.63 : x
  2. Step 2: Convert to fraction form
    3,533.57/4,876.20 = 1,961.63/x
  3. Step 3: Cross multiply
    3,533.57x = 4,876.20 × 1,961.63
  4. Step 4: Simplify right side
    3,533.57x = 9,565,275.83
  5. Step 5: Solve for x
    x = 9,565,275.83/3,533.57
  6. Step 6: Final answer
    x = 2,706.98

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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.