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Finding the Fourth Proportional to 4,663.24, 7,020.39 and 4,255.00

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Solution

The fourth proportional to 4,663.24, 7,020.39 and 4,255.00 is: 6,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.24 : 7,020.39 = 4,255.00 : x
  2. Step 2: Convert to fraction form
    4,663.24/7,020.39 = 4,255.00/x
  3. Step 3: Cross multiply
    4,663.24x = 7,020.39 × 4,255.00
  4. Step 4: Simplify right side
    4,663.24x = 29,871,725.94
  5. Step 5: Solve for x
    x = 29,871,725.94/4,663.24
  6. Step 6: Final answer
    x = 6,405.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.