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Finding the Fourth Proportional to 4,926.48, 7,385.44 and 3,999.64

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Solution

The fourth proportional to 4,926.48, 7,385.44 and 3,999.64 is: 5,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.48 : 7,385.44 = 3,999.64 : x
  2. Step 2: Convert to fraction form
    4,926.48/7,385.44 = 3,999.64/x
  3. Step 3: Cross multiply
    4,926.48x = 7,385.44 × 3,999.64
  4. Step 4: Simplify right side
    4,926.48x = 29,539,101.24
  5. Step 5: Solve for x
    x = 29,539,101.24/4,926.48
  6. Step 6: Final answer
    x = 5,995.99

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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.