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Finding the Fourth Proportional to 5,206.76, 7,798.36 and 4,028.48

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Solution

The fourth proportional to 5,206.76, 7,798.36 and 4,028.48 is: 6,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.76 : 7,798.36 = 4,028.48 : x
  2. Step 2: Convert to fraction form
    5,206.76/7,798.36 = 4,028.48/x
  3. Step 3: Cross multiply
    5,206.76x = 7,798.36 × 4,028.48
  4. Step 4: Simplify right side
    5,206.76x = 31,415,537.29
  5. Step 5: Solve for x
    x = 31,415,537.29/5,206.76
  6. Step 6: Final answer
    x = 6,033.61

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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.