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Finding the Fourth Proportional to 5,553.90, 7,656.26 and 4,225.30

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Solution

The fourth proportional to 5,553.90, 7,656.26 and 4,225.30 is: 5,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.90 : 7,656.26 = 4,225.30 : x
  2. Step 2: Convert to fraction form
    5,553.90/7,656.26 = 4,225.30/x
  3. Step 3: Cross multiply
    5,553.90x = 7,656.26 × 4,225.30
  4. Step 4: Simplify right side
    5,553.90x = 32,349,995.38
  5. Step 5: Solve for x
    x = 32,349,995.38/5,553.90
  6. Step 6: Final answer
    x = 5,824.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.