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Finding the Fourth Proportional to 5,207.94, 7,803.69 and 4,229.28

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Solution

The fourth proportional to 5,207.94, 7,803.69 and 4,229.28 is: 6,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.94 : 7,803.69 = 4,229.28 : x
  2. Step 2: Convert to fraction form
    5,207.94/7,803.69 = 4,229.28/x
  3. Step 3: Cross multiply
    5,207.94x = 7,803.69 × 4,229.28
  4. Step 4: Simplify right side
    5,207.94x = 33,003,990.04
  5. Step 5: Solve for x
    x = 33,003,990.04/5,207.94
  6. Step 6: Final answer
    x = 6,337.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.