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Finding the Fourth Proportional to 3,487.44, 5,231.16 and 1,434

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Solution

The fourth proportional to 3,487.44, 5,231.16 and 1,434 is: 2,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.44 : 5,231.16 = 1,434 : x
  2. Step 2: Convert to fraction form
    3,487.44/5,231.16 = 1,434/x
  3. Step 3: Cross multiply
    3,487.44x = 5,231.16 × 1,434
  4. Step 4: Simplify right side
    3,487.44x = 7,501,483.44
  5. Step 5: Solve for x
    x = 7,501,483.44/3,487.44
  6. Step 6: Final answer
    x = 2,151

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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.