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Finding the Fourth Proportional to 5,889.64, 8,827.98 and 3,937

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Solution

The fourth proportional to 5,889.64, 8,827.98 and 3,937 is: 5,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.64 : 8,827.98 = 3,937 : x
  2. Step 2: Convert to fraction form
    5,889.64/8,827.98 = 3,937/x
  3. Step 3: Cross multiply
    5,889.64x = 8,827.98 × 3,937
  4. Step 4: Simplify right side
    5,889.64x = 34,755,757.26
  5. Step 5: Solve for x
    x = 34,755,757.26/5,889.64
  6. Step 6: Final answer
    x = 5,901.17

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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.