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Finding the Fourth Proportional to 5,734.12, 7,914.82 and 4,956.52

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Solution

The fourth proportional to 5,734.12, 7,914.82 and 4,956.52 is: 6,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.12 : 7,914.82 = 4,956.52 : x
  2. Step 2: Convert to fraction form
    5,734.12/7,914.82 = 4,956.52/x
  3. Step 3: Cross multiply
    5,734.12x = 7,914.82 × 4,956.52
  4. Step 4: Simplify right side
    5,734.12x = 39,229,963.63
  5. Step 5: Solve for x
    x = 39,229,963.63/5,734.12
  6. Step 6: Final answer
    x = 6,841.50

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