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Finding the Fourth Proportional to 3,534.92, 4,878.22 and 1,963

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Solution

The fourth proportional to 3,534.92, 4,878.22 and 1,963 is: 2,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.92 : 4,878.22 = 1,963 : x
  2. Step 2: Convert to fraction form
    3,534.92/4,878.22 = 1,963/x
  3. Step 3: Cross multiply
    3,534.92x = 4,878.22 × 1,963
  4. Step 4: Simplify right side
    3,534.92x = 9,575,945.86
  5. Step 5: Solve for x
    x = 9,575,945.86/3,534.92
  6. Step 6: Final answer
    x = 2,708.96

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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.