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Finding the Fourth Proportional to 5,211.22, 7,853.44 and 4,691.81

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Solution

The fourth proportional to 5,211.22, 7,853.44 and 4,691.81 is: 7,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.22 : 7,853.44 = 4,691.81 : x
  2. Step 2: Convert to fraction form
    5,211.22/7,853.44 = 4,691.81/x
  3. Step 3: Cross multiply
    5,211.22x = 7,853.44 × 4,691.81
  4. Step 4: Simplify right side
    5,211.22x = 36,846,848.33
  5. Step 5: Solve for x
    x = 36,846,848.33/5,211.22
  6. Step 6: Final answer
    x = 7,070.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.