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Finding the Fourth Proportional to 5,004.21, 6,906.03 and 3,116.91

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Solution

The fourth proportional to 5,004.21, 6,906.03 and 3,116.91 is: 4,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.21 : 6,906.03 = 3,116.91 : x
  2. Step 2: Convert to fraction form
    5,004.21/6,906.03 = 3,116.91/x
  3. Step 3: Cross multiply
    5,004.21x = 6,906.03 × 3,116.91
  4. Step 4: Simplify right side
    5,004.21x = 21,525,473.97
  5. Step 5: Solve for x
    x = 21,525,473.97/5,004.21
  6. Step 6: Final answer
    x = 4,301.47

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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.