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Finding the Fourth Proportional to 6,251.08, 9,379.34 and 3,654

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Solution

The fourth proportional to 6,251.08, 9,379.34 and 3,654 is: 5,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.08 : 9,379.34 = 3,654 : x
  2. Step 2: Convert to fraction form
    6,251.08/9,379.34 = 3,654/x
  3. Step 3: Cross multiply
    6,251.08x = 9,379.34 × 3,654
  4. Step 4: Simplify right side
    6,251.08x = 34,272,108.36
  5. Step 5: Solve for x
    x = 34,272,108.36/6,251.08
  6. Step 6: Final answer
    x = 5,482.59

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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.