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Finding the Fourth Proportional to 3,919.50, 5,409.56 and 2,264.46

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Solution

The fourth proportional to 3,919.50, 5,409.56 and 2,264.46 is: 3,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.50 : 5,409.56 = 2,264.46 : x
  2. Step 2: Convert to fraction form
    3,919.50/5,409.56 = 2,264.46/x
  3. Step 3: Cross multiply
    3,919.50x = 5,409.56 × 2,264.46
  4. Step 4: Simplify right side
    3,919.50x = 12,249,732.24
  5. Step 5: Solve for x
    x = 12,249,732.24/3,919.50
  6. Step 6: Final answer
    x = 3,125.33

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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.