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Finding the Fourth Proportional to 5,123.86, 7,071.06 and 2,885.82

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Solution

The fourth proportional to 5,123.86, 7,071.06 and 2,885.82 is: 3,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.86 : 7,071.06 = 2,885.82 : x
  2. Step 2: Convert to fraction form
    5,123.86/7,071.06 = 2,885.82/x
  3. Step 3: Cross multiply
    5,123.86x = 7,071.06 × 2,885.82
  4. Step 4: Simplify right side
    5,123.86x = 20,405,806.37
  5. Step 5: Solve for x
    x = 20,405,806.37/5,123.86
  6. Step 6: Final answer
    x = 3,982.51

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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.