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Finding the Fourth Proportional to 5,123.90, 7,071.06 and 2,998.94

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Solution

The fourth proportional to 5,123.90, 7,071.06 and 2,998.94 is: 4,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.90 : 7,071.06 = 2,998.94 : x
  2. Step 2: Convert to fraction form
    5,123.90/7,071.06 = 2,998.94/x
  3. Step 3: Cross multiply
    5,123.90x = 7,071.06 × 2,998.94
  4. Step 4: Simplify right side
    5,123.90x = 21,205,684.68
  5. Step 5: Solve for x
    x = 21,205,684.68/5,123.90
  6. Step 6: Final answer
    x = 4,138.58

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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.