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Finding the Fourth Proportional to 4,562.47, 6,840.54 and 1,789.42

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Solution

The fourth proportional to 4,562.47, 6,840.54 and 1,789.42 is: 2,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.47 : 6,840.54 = 1,789.42 : x
  2. Step 2: Convert to fraction form
    4,562.47/6,840.54 = 1,789.42/x
  3. Step 3: Cross multiply
    4,562.47x = 6,840.54 × 1,789.42
  4. Step 4: Simplify right side
    4,562.47x = 12,240,555.94
  5. Step 5: Solve for x
    x = 12,240,555.94/4,562.47
  6. Step 6: Final answer
    x = 2,682.88

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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.