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Finding the Fourth Proportional to 3,919.50, 5,409.16 and 2,263.50

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Solution

The fourth proportional to 3,919.50, 5,409.16 and 2,263.50 is: 3,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.50 : 5,409.16 = 2,263.50 : x
  2. Step 2: Convert to fraction form
    3,919.50/5,409.16 = 2,263.50/x
  3. Step 3: Cross multiply
    3,919.50x = 5,409.16 × 2,263.50
  4. Step 4: Simplify right side
    3,919.50x = 12,243,633.66
  5. Step 5: Solve for x
    x = 12,243,633.66/3,919.50
  6. Step 6: Final answer
    x = 3,123.77

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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.