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Finding the Fourth Proportional to 5,129.82, 7,077.66 and 3,453.12

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Solution

The fourth proportional to 5,129.82, 7,077.66 and 3,453.12 is: 4,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.82 : 7,077.66 = 3,453.12 : x
  2. Step 2: Convert to fraction form
    5,129.82/7,077.66 = 3,453.12/x
  3. Step 3: Cross multiply
    5,129.82x = 7,077.66 × 3,453.12
  4. Step 4: Simplify right side
    5,129.82x = 24,440,009.30
  5. Step 5: Solve for x
    x = 24,440,009.30/5,129.82
  6. Step 6: Final answer
    x = 4,764.30

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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.