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Finding the Fourth Proportional to 3,533.76, 4,876.52 and 1,961.82

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Solution

The fourth proportional to 3,533.76, 4,876.52 and 1,961.82 is: 2,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 4,876.52 = 1,961.82 : x
  2. Step 2: Convert to fraction form
    3,533.76/4,876.52 = 1,961.82/x
  3. Step 3: Cross multiply
    3,533.76x = 4,876.52 × 1,961.82
  4. Step 4: Simplify right side
    3,533.76x = 9,566,854.47
  5. Step 5: Solve for x
    x = 9,566,854.47/3,533.76
  6. Step 6: Final answer
    x = 2,707.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.