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Finding the Fourth Proportional to 4,562.52, 6,843.82 and 1,484.52

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Solution

The fourth proportional to 4,562.52, 6,843.82 and 1,484.52 is: 2,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.52 : 6,843.82 = 1,484.52 : x
  2. Step 2: Convert to fraction form
    4,562.52/6,843.82 = 1,484.52/x
  3. Step 3: Cross multiply
    4,562.52x = 6,843.82 × 1,484.52
  4. Step 4: Simplify right side
    4,562.52x = 10,159,787.67
  5. Step 5: Solve for x
    x = 10,159,787.67/4,562.52
  6. Step 6: Final answer
    x = 2,226.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.