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Finding the Fourth Proportional to 4,310.24, 6,447.48 and 4,047.80

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Solution

The fourth proportional to 4,310.24, 6,447.48 and 4,047.80 is: 6,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.24 : 6,447.48 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    4,310.24/6,447.48 = 4,047.80/x
  3. Step 3: Cross multiply
    4,310.24x = 6,447.48 × 4,047.80
  4. Step 4: Simplify right side
    4,310.24x = 26,098,109.54
  5. Step 5: Solve for x
    x = 26,098,109.54/4,310.24
  6. Step 6: Final answer
    x = 6,054.91

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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.