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Finding the Fourth Proportional to 5,777.85, 8,670.09 and 5,730.87

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Solution

The fourth proportional to 5,777.85, 8,670.09 and 5,730.87 is: 8,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.85 : 8,670.09 = 5,730.87 : x
  2. Step 2: Convert to fraction form
    5,777.85/8,670.09 = 5,730.87/x
  3. Step 3: Cross multiply
    5,777.85x = 8,670.09 × 5,730.87
  4. Step 4: Simplify right side
    5,777.85x = 49,687,158.68
  5. Step 5: Solve for x
    x = 49,687,158.68/5,777.85
  6. Step 6: Final answer
    x = 8,599.59

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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.