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Finding the Fourth Proportional to 5,892.26, 8,840.10 and 3,669.62

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Solution

The fourth proportional to 5,892.26, 8,840.10 and 3,669.62 is: 5,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.26 : 8,840.10 = 3,669.62 : x
  2. Step 2: Convert to fraction form
    5,892.26/8,840.10 = 3,669.62/x
  3. Step 3: Cross multiply
    5,892.26x = 8,840.10 × 3,669.62
  4. Step 4: Simplify right side
    5,892.26x = 32,439,807.76
  5. Step 5: Solve for x
    x = 32,439,807.76/5,892.26
  6. Step 6: Final answer
    x = 5,505.49

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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.