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Finding the Fourth Proportional to 5,807.66, 8,709.24 and 2,108.99

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Solution

The fourth proportional to 5,807.66, 8,709.24 and 2,108.99 is: 3,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.66 : 8,709.24 = 2,108.99 : x
  2. Step 2: Convert to fraction form
    5,807.66/8,709.24 = 2,108.99/x
  3. Step 3: Cross multiply
    5,807.66x = 8,709.24 × 2,108.99
  4. Step 4: Simplify right side
    5,807.66x = 18,367,700.07
  5. Step 5: Solve for x
    x = 18,367,700.07/5,807.66
  6. Step 6: Final answer
    x = 3,162.67

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Why These Related Problems?

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