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Finding the Fourth Proportional to 5,212.66, 7,194.09 and 3,116.74

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Solution

The fourth proportional to 5,212.66, 7,194.09 and 3,116.74 is: 4,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.66 : 7,194.09 = 3,116.74 : x
  2. Step 2: Convert to fraction form
    5,212.66/7,194.09 = 3,116.74/x
  3. Step 3: Cross multiply
    5,212.66x = 7,194.09 × 3,116.74
  4. Step 4: Simplify right side
    5,212.66x = 22,422,108.07
  5. Step 5: Solve for x
    x = 22,422,108.07/5,212.66
  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.