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Finding the Fourth Proportional to 3,486.89, 5,230.81 and 1,021.35

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Solution

The fourth proportional to 3,486.89, 5,230.81 and 1,021.35 is: 1,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.89 : 5,230.81 = 1,021.35 : x
  2. Step 2: Convert to fraction form
    3,486.89/5,230.81 = 1,021.35/x
  3. Step 3: Cross multiply
    3,486.89x = 5,230.81 × 1,021.35
  4. Step 4: Simplify right side
    3,486.89x = 5,342,487.79
  5. Step 5: Solve for x
    x = 5,342,487.79/3,486.89
  6. Step 6: Final answer
    x = 1,532.16

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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.