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Finding the Fourth Proportional to 5,750.34, 8,625.42 and 3,278.94

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Solution

The fourth proportional to 5,750.34, 8,625.42 and 3,278.94 is: 4,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.34 : 8,625.42 = 3,278.94 : x
  2. Step 2: Convert to fraction form
    5,750.34/8,625.42 = 3,278.94/x
  3. Step 3: Cross multiply
    5,750.34x = 8,625.42 × 3,278.94
  4. Step 4: Simplify right side
    5,750.34x = 28,282,234.65
  5. Step 5: Solve for x
    x = 28,282,234.65/5,750.34
  6. Step 6: Final answer
    x = 4,918.36

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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.