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Finding the Fourth Proportional to 5,734.83, 7,914.38 and 4,315.97

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Solution

The fourth proportional to 5,734.83, 7,914.38 and 4,315.97 is: 5,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.83 : 7,914.38 = 4,315.97 : x
  2. Step 2: Convert to fraction form
    5,734.83/7,914.38 = 4,315.97/x
  3. Step 3: Cross multiply
    5,734.83x = 7,914.38 × 4,315.97
  4. Step 4: Simplify right side
    5,734.83x = 34,158,165.50
  5. Step 5: Solve for x
    x = 34,158,165.50/5,734.83
  6. Step 6: Final answer
    x = 5,956.26

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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.