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Finding the Fourth Proportional to 3,486.81, 5,230.26 and 1,021.68

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Solution

The fourth proportional to 3,486.81, 5,230.26 and 1,021.68 is: 1,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.81 : 5,230.26 = 1,021.68 : x
  2. Step 2: Convert to fraction form
    3,486.81/5,230.26 = 1,021.68/x
  3. Step 3: Cross multiply
    3,486.81x = 5,230.26 × 1,021.68
  4. Step 4: Simplify right side
    3,486.81x = 5,343,652.04
  5. Step 5: Solve for x
    x = 5,343,652.04/3,486.81
  6. Step 6: Final answer
    x = 1,532.53

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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.