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Finding the Fourth Proportional to 4,874.37, 7,309.86 and 1,586.62

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Solution

The fourth proportional to 4,874.37, 7,309.86 and 1,586.62 is: 2,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.37 : 7,309.86 = 1,586.62 : x
  2. Step 2: Convert to fraction form
    4,874.37/7,309.86 = 1,586.62/x
  3. Step 3: Cross multiply
    4,874.37x = 7,309.86 × 1,586.62
  4. Step 4: Simplify right side
    4,874.37x = 11,597,970.07
  5. Step 5: Solve for x
    x = 11,597,970.07/4,874.37
  6. Step 6: Final answer
    x = 2,379.38

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