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Finding the Fourth Proportional to 4,656.33, 6,426.24 and 2,768.34

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Solution

The fourth proportional to 4,656.33, 6,426.24 and 2,768.34 is: 3,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.33 : 6,426.24 = 2,768.34 : x
  2. Step 2: Convert to fraction form
    4,656.33/6,426.24 = 2,768.34/x
  3. Step 3: Cross multiply
    4,656.33x = 6,426.24 × 2,768.34
  4. Step 4: Simplify right side
    4,656.33x = 17,790,017.24
  5. Step 5: Solve for x
    x = 17,790,017.24/4,656.33
  6. Step 6: Final answer
    x = 3,820.61

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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.