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Finding the Fourth Proportional to 5,049, 6,968.34 and 4,827.60

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Solution

The fourth proportional to 5,049, 6,968.34 and 4,827.60 is: 6,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049 : 6,968.34 = 4,827.60 : x
  2. Step 2: Convert to fraction form
    5,049/6,968.34 = 4,827.60/x
  3. Step 3: Cross multiply
    5,049x = 6,968.34 × 4,827.60
  4. Step 4: Simplify right side
    5,049x = 33,640,358.18
  5. Step 5: Solve for x
    x = 33,640,358.18/5,049
  6. Step 6: Final answer
    x = 6,662.78

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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.