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Finding the Fourth Proportional to 4,152.52, 6,227.72 and 1,230.14

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Solution

The fourth proportional to 4,152.52, 6,227.72 and 1,230.14 is: 1,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.52 : 6,227.72 = 1,230.14 : x
  2. Step 2: Convert to fraction form
    4,152.52/6,227.72 = 1,230.14/x
  3. Step 3: Cross multiply
    4,152.52x = 6,227.72 × 1,230.14
  4. Step 4: Simplify right side
    4,152.52x = 7,660,953.55
  5. Step 5: Solve for x
    x = 7,660,953.55/4,152.52
  6. Step 6: Final answer
    x = 1,844.89

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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.