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Finding the Fourth Proportional to 3,486.34, 5,230.32 and 1,021.18

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Solution

The fourth proportional to 3,486.34, 5,230.32 and 1,021.18 is: 1,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.34 : 5,230.32 = 1,021.18 : x
  2. Step 2: Convert to fraction form
    3,486.34/5,230.32 = 1,021.18/x
  3. Step 3: Cross multiply
    3,486.34x = 5,230.32 × 1,021.18
  4. Step 4: Simplify right side
    3,486.34x = 5,341,098.18
  5. Step 5: Solve for x
    x = 5,341,098.18/3,486.34
  6. Step 6: Final answer
    x = 1,532.01

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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.