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Finding the Fourth Proportional to 5,730.95, 7,906.92 and 3,212.70

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Solution

The fourth proportional to 5,730.95, 7,906.92 and 3,212.70 is: 4,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.95 : 7,906.92 = 3,212.70 : x
  2. Step 2: Convert to fraction form
    5,730.95/7,906.92 = 3,212.70/x
  3. Step 3: Cross multiply
    5,730.95x = 7,906.92 × 3,212.70
  4. Step 4: Simplify right side
    5,730.95x = 25,402,520.19
  5. Step 5: Solve for x
    x = 25,402,520.19/5,730.95
  6. Step 6: Final answer
    x = 4,432.51

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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.