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Finding the Fourth Proportional to 4,894.75, 7,343.21 and 1,816.75

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Solution

The fourth proportional to 4,894.75, 7,343.21 and 1,816.75 is: 2,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.75 : 7,343.21 = 1,816.75 : x
  2. Step 2: Convert to fraction form
    4,894.75/7,343.21 = 1,816.75/x
  3. Step 3: Cross multiply
    4,894.75x = 7,343.21 × 1,816.75
  4. Step 4: Simplify right side
    4,894.75x = 13,340,776.77
  5. Step 5: Solve for x
    x = 13,340,776.77/4,894.75
  6. Step 6: Final answer
    x = 2,725.53

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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.