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Finding the Fourth Proportional to 5,730.52, 7,911.80 and 3,608.94

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Solution

The fourth proportional to 5,730.52, 7,911.80 and 3,608.94 is: 4,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.52 : 7,911.80 = 3,608.94 : x
  2. Step 2: Convert to fraction form
    5,730.52/7,911.80 = 3,608.94/x
  3. Step 3: Cross multiply
    5,730.52x = 7,911.80 × 3,608.94
  4. Step 4: Simplify right side
    5,730.52x = 28,553,211.49
  5. Step 5: Solve for x
    x = 28,553,211.49/5,730.52
  6. Step 6: Final answer
    x = 4,982.66

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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.