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Finding the Fourth Proportional to 4,289.46, 6,436.08 and 1,824.84

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Solution

The fourth proportional to 4,289.46, 6,436.08 and 1,824.84 is: 2,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.46 : 6,436.08 = 1,824.84 : x
  2. Step 2: Convert to fraction form
    4,289.46/6,436.08 = 1,824.84/x
  3. Step 3: Cross multiply
    4,289.46x = 6,436.08 × 1,824.84
  4. Step 4: Simplify right side
    4,289.46x = 11,744,816.23
  5. Step 5: Solve for x
    x = 11,744,816.23/4,289.46
  6. Step 6: Final answer
    x = 2,738.06

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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.