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Finding the Fourth Proportional to 5,156.34, 7,734.13 and 2,035.75

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Solution

The fourth proportional to 5,156.34, 7,734.13 and 2,035.75 is: 3,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.34 : 7,734.13 = 2,035.75 : x
  2. Step 2: Convert to fraction form
    5,156.34/7,734.13 = 2,035.75/x
  3. Step 3: Cross multiply
    5,156.34x = 7,734.13 × 2,035.75
  4. Step 4: Simplify right side
    5,156.34x = 15,744,755.15
  5. Step 5: Solve for x
    x = 15,744,755.15/5,156.34
  6. Step 6: Final answer
    x = 3,053.47

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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.