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Finding the Fourth Proportional to 5,876.96, 8,111.34 and 3,487.46

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Solution

The fourth proportional to 5,876.96, 8,111.34 and 3,487.46 is: 4,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.96 : 8,111.34 = 3,487.46 : x
  2. Step 2: Convert to fraction form
    5,876.96/8,111.34 = 3,487.46/x
  3. Step 3: Cross multiply
    5,876.96x = 8,111.34 × 3,487.46
  4. Step 4: Simplify right side
    5,876.96x = 28,287,933.24
  5. Step 5: Solve for x
    x = 28,287,933.24/5,876.96
  6. Step 6: Final answer
    x = 4,813.37

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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.