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Finding the Fourth Proportional to 4,544.96, 6,816.76 and 1,583.85

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Solution

The fourth proportional to 4,544.96, 6,816.76 and 1,583.85 is: 2,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.96 : 6,816.76 = 1,583.85 : x
  2. Step 2: Convert to fraction form
    4,544.96/6,816.76 = 1,583.85/x
  3. Step 3: Cross multiply
    4,544.96x = 6,816.76 × 1,583.85
  4. Step 4: Simplify right side
    4,544.96x = 10,796,746.93
  5. Step 5: Solve for x
    x = 10,796,746.93/4,544.96
  6. Step 6: Final answer
    x = 2,375.54

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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.