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Finding the Fourth Proportional to 5,200.29, 7,790.72 and 4,053.33

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Solution

The fourth proportional to 5,200.29, 7,790.72 and 4,053.33 is: 6,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.29 : 7,790.72 = 4,053.33 : x
  2. Step 2: Convert to fraction form
    5,200.29/7,790.72 = 4,053.33/x
  3. Step 3: Cross multiply
    5,200.29x = 7,790.72 × 4,053.33
  4. Step 4: Simplify right side
    5,200.29x = 31,578,338.83
  5. Step 5: Solve for x
    x = 31,578,338.83/5,200.29
  6. Step 6: Final answer
    x = 6,072.42

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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.