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Finding the Fourth Proportional to 3,435.50, 4,740.94 and 1,863.65

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Solution

The fourth proportional to 3,435.50, 4,740.94 and 1,863.65 is: 2,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.50 : 4,740.94 = 1,863.65 : x
  2. Step 2: Convert to fraction form
    3,435.50/4,740.94 = 1,863.65/x
  3. Step 3: Cross multiply
    3,435.50x = 4,740.94 × 1,863.65
  4. Step 4: Simplify right side
    3,435.50x = 8,835,452.83
  5. Step 5: Solve for x
    x = 8,835,452.83/3,435.50
  6. Step 6: Final answer
    x = 2,571.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.