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Finding the Fourth Proportional to 5,709.88, 8,566.34 and 2,423.16

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Solution

The fourth proportional to 5,709.88, 8,566.34 and 2,423.16 is: 3,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.88 : 8,566.34 = 2,423.16 : x
  2. Step 2: Convert to fraction form
    5,709.88/8,566.34 = 2,423.16/x
  3. Step 3: Cross multiply
    5,709.88x = 8,566.34 × 2,423.16
  4. Step 4: Simplify right side
    5,709.88x = 20,757,612.43
  5. Step 5: Solve for x
    x = 20,757,612.43/5,709.88
  6. Step 6: Final answer
    x = 3,635.39

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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.