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Finding the Fourth Proportional to 3,486.42, 5,230.44 and 1,021.32

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Solution

The fourth proportional to 3,486.42, 5,230.44 and 1,021.32 is: 1,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.42 : 5,230.44 = 1,021.32 : x
  2. Step 2: Convert to fraction form
    3,486.42/5,230.44 = 1,021.32/x
  3. Step 3: Cross multiply
    3,486.42x = 5,230.44 × 1,021.32
  4. Step 4: Simplify right side
    3,486.42x = 5,341,952.98
  5. Step 5: Solve for x
    x = 5,341,952.98/3,486.42
  6. Step 6: Final answer
    x = 1,532.22

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Why These Related Problems?

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