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Finding the Fourth Proportional to 5,665.84, 8,499.63 and 2,891

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Solution

The fourth proportional to 5,665.84, 8,499.63 and 2,891 is: 4,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.84 : 8,499.63 = 2,891 : x
  2. Step 2: Convert to fraction form
    5,665.84/8,499.63 = 2,891/x
  3. Step 3: Cross multiply
    5,665.84x = 8,499.63 × 2,891
  4. Step 4: Simplify right side
    5,665.84x = 24,572,415.88
  5. Step 5: Solve for x
    x = 24,572,415.88/5,665.84
  6. Step 6: Final answer
    x = 4,336.94

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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.