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Finding the Fourth Proportional to 3,391.83, 5,087.75 and 926.65

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Solution

The fourth proportional to 3,391.83, 5,087.75 and 926.65 is: 1,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.83 : 5,087.75 = 926.65 : x
  2. Step 2: Convert to fraction form
    3,391.83/5,087.75 = 926.65/x
  3. Step 3: Cross multiply
    3,391.83x = 5,087.75 × 926.65
  4. Step 4: Simplify right side
    3,391.83x = 4,714,563.54
  5. Step 5: Solve for x
    x = 4,714,563.54/3,391.83
  6. Step 6: Final answer
    x = 1,389.98

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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.