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Finding the Fourth Proportional to 3,493.35, 5,239.81 and 1,301.08

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Solution

The fourth proportional to 3,493.35, 5,239.81 and 1,301.08 is: 1,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.35 : 5,239.81 = 1,301.08 : x
  2. Step 2: Convert to fraction form
    3,493.35/5,239.81 = 1,301.08/x
  3. Step 3: Cross multiply
    3,493.35x = 5,239.81 × 1,301.08
  4. Step 4: Simplify right side
    3,493.35x = 6,817,411.99
  5. Step 5: Solve for x
    x = 6,817,411.99/3,493.35
  6. Step 6: Final answer
    x = 1,951.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.