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Finding the Fourth Proportional to 5,129.46, 7,081.71 and 3,364.14

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Solution

The fourth proportional to 5,129.46, 7,081.71 and 3,364.14 is: 4,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.46 : 7,081.71 = 3,364.14 : x
  2. Step 2: Convert to fraction form
    5,129.46/7,081.71 = 3,364.14/x
  3. Step 3: Cross multiply
    5,129.46x = 7,081.71 × 3,364.14
  4. Step 4: Simplify right side
    5,129.46x = 23,823,890.44
  5. Step 5: Solve for x
    x = 23,823,890.44/5,129.46
  6. Step 6: Final answer
    x = 4,644.52

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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.