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Finding the Fourth Proportional to 4,516.42, 6,775.12 and 1,229.54

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Solution

The fourth proportional to 4,516.42, 6,775.12 and 1,229.54 is: 1,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.42 : 6,775.12 = 1,229.54 : x
  2. Step 2: Convert to fraction form
    4,516.42/6,775.12 = 1,229.54/x
  3. Step 3: Cross multiply
    4,516.42x = 6,775.12 × 1,229.54
  4. Step 4: Simplify right side
    4,516.42x = 8,330,281.04
  5. Step 5: Solve for x
    x = 8,330,281.04/4,516.42
  6. Step 6: Final answer
    x = 1,844.44

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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.