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Finding the Fourth Proportional to 5,734.39, 7,914.86 and 3,497.50

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Solution

The fourth proportional to 5,734.39, 7,914.86 and 3,497.50 is: 4,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.39 : 7,914.86 = 3,497.50 : x
  2. Step 2: Convert to fraction form
    5,734.39/7,914.86 = 3,497.50/x
  3. Step 3: Cross multiply
    5,734.39x = 7,914.86 × 3,497.50
  4. Step 4: Simplify right side
    5,734.39x = 27,682,222.85
  5. Step 5: Solve for x
    x = 27,682,222.85/5,734.39
  6. Step 6: Final answer
    x = 4,827.40

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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.