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Finding the Fourth Proportional to 5,926.35, 8,889.68 and 2,807.82

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Solution

The fourth proportional to 5,926.35, 8,889.68 and 2,807.82 is: 4,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.35 : 8,889.68 = 2,807.82 : x
  2. Step 2: Convert to fraction form
    5,926.35/8,889.68 = 2,807.82/x
  3. Step 3: Cross multiply
    5,926.35x = 8,889.68 × 2,807.82
  4. Step 4: Simplify right side
    5,926.35x = 24,960,621.30
  5. Step 5: Solve for x
    x = 24,960,621.30/5,926.35
  6. Step 6: Final answer
    x = 4,211.80

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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.