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Finding the Fourth Proportional to 3,970.35, 5,958.26 and 1,781.53

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Solution

The fourth proportional to 3,970.35, 5,958.26 and 1,781.53 is: 2,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.35 : 5,958.26 = 1,781.53 : x
  2. Step 2: Convert to fraction form
    3,970.35/5,958.26 = 1,781.53/x
  3. Step 3: Cross multiply
    3,970.35x = 5,958.26 × 1,781.53
  4. Step 4: Simplify right side
    3,970.35x = 10,614,808.50
  5. Step 5: Solve for x
    x = 10,614,808.50/3,970.35
  6. Step 6: Final answer
    x = 2,673.52

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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.