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Finding the Fourth Proportional to 5,775.50, 7,970.20 and 3,122.91

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Solution

The fourth proportional to 5,775.50, 7,970.20 and 3,122.91 is: 4,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.50 : 7,970.20 = 3,122.91 : x
  2. Step 2: Convert to fraction form
    5,775.50/7,970.20 = 3,122.91/x
  3. Step 3: Cross multiply
    5,775.50x = 7,970.20 × 3,122.91
  4. Step 4: Simplify right side
    5,775.50x = 24,890,209.47
  5. Step 5: Solve for x
    x = 24,890,209.47/5,775.50
  6. Step 6: Final answer
    x = 4,309.62

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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.