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Finding the Fourth Proportional to 4,409.96, 6,084.50 and 2,838.96

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Solution

The fourth proportional to 4,409.96, 6,084.50 and 2,838.96 is: 3,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.96 : 6,084.50 = 2,838.96 : x
  2. Step 2: Convert to fraction form
    4,409.96/6,084.50 = 2,838.96/x
  3. Step 3: Cross multiply
    4,409.96x = 6,084.50 × 2,838.96
  4. Step 4: Simplify right side
    4,409.96x = 17,273,637.93
  5. Step 5: Solve for x
    x = 17,273,637.93/4,409.96
  6. Step 6: Final answer
    x = 3,916.96

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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.