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Finding the Fourth Proportional to 3,523, 4,861.74 and 2,125.48

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Solution

The fourth proportional to 3,523, 4,861.74 and 2,125.48 is: 2,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523 : 4,861.74 = 2,125.48 : x
  2. Step 2: Convert to fraction form
    3,523/4,861.74 = 2,125.48/x
  3. Step 3: Cross multiply
    3,523x = 4,861.74 × 2,125.48
  4. Step 4: Simplify right side
    3,523x = 10,333,531.14
  5. Step 5: Solve for x
    x = 10,333,531.14/3,523
  6. Step 6: Final answer
    x = 2,933.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.