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Finding the Fourth Proportional to 5,123.90, 7,071.06 and 3,134.04

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Solution

The fourth proportional to 5,123.90, 7,071.06 and 3,134.04 is: 4,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.90 : 7,071.06 = 3,134.04 : x
  2. Step 2: Convert to fraction form
    5,123.90/7,071.06 = 3,134.04/x
  3. Step 3: Cross multiply
    5,123.90x = 7,071.06 × 3,134.04
  4. Step 4: Simplify right side
    5,123.90x = 22,160,984.88
  5. Step 5: Solve for x
    x = 22,160,984.88/5,123.90
  6. Step 6: Final answer
    x = 4,325.02

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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.