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Finding the Fourth Proportional to 5,777.43, 8,666.37 and 3,311.13

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Solution

The fourth proportional to 5,777.43, 8,666.37 and 3,311.13 is: 4,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.43 : 8,666.37 = 3,311.13 : x
  2. Step 2: Convert to fraction form
    5,777.43/8,666.37 = 3,311.13/x
  3. Step 3: Cross multiply
    5,777.43x = 8,666.37 × 3,311.13
  4. Step 4: Simplify right side
    5,777.43x = 28,695,477.70
  5. Step 5: Solve for x
    x = 28,695,477.70/5,777.43
  6. Step 6: Final answer
    x = 4,966.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.