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Finding the Fourth Proportional to 3,328.77, 4,993.46 and 863.58

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Solution

The fourth proportional to 3,328.77, 4,993.46 and 863.58 is: 1,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.77 : 4,993.46 = 863.58 : x
  2. Step 2: Convert to fraction form
    3,328.77/4,993.46 = 863.58/x
  3. Step 3: Cross multiply
    3,328.77x = 4,993.46 × 863.58
  4. Step 4: Simplify right side
    3,328.77x = 4,312,247.87
  5. Step 5: Solve for x
    x = 4,312,247.87/3,328.77
  6. Step 6: Final answer
    x = 1,295.45

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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.