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Finding the Fourth Proportional to 3,234.54, 4,852.23 and 1,042.74

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Solution

The fourth proportional to 3,234.54, 4,852.23 and 1,042.74 is: 1,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.54 : 4,852.23 = 1,042.74 : x
  2. Step 2: Convert to fraction form
    3,234.54/4,852.23 = 1,042.74/x
  3. Step 3: Cross multiply
    3,234.54x = 4,852.23 × 1,042.74
  4. Step 4: Simplify right side
    3,234.54x = 5,059,614.31
  5. Step 5: Solve for x
    x = 5,059,614.31/3,234.54
  6. Step 6: Final answer
    x = 1,564.25

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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.