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Finding the Fourth Proportional to 4,643.13, 6,961.05 and 3,177.84

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Solution

The fourth proportional to 4,643.13, 6,961.05 and 3,177.84 is: 4,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.13 : 6,961.05 = 3,177.84 : x
  2. Step 2: Convert to fraction form
    4,643.13/6,961.05 = 3,177.84/x
  3. Step 3: Cross multiply
    4,643.13x = 6,961.05 × 3,177.84
  4. Step 4: Simplify right side
    4,643.13x = 22,121,091.22
  5. Step 5: Solve for x
    x = 22,121,091.22/4,643.13
  6. Step 6: Final answer
    x = 4,764.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.