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Finding the Fourth Proportional to 4,873.54, 7,310.31 and 1,586.63

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Solution

The fourth proportional to 4,873.54, 7,310.31 and 1,586.63 is: 2,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.54 : 7,310.31 = 1,586.63 : x
  2. Step 2: Convert to fraction form
    4,873.54/7,310.31 = 1,586.63/x
  3. Step 3: Cross multiply
    4,873.54x = 7,310.31 × 1,586.63
  4. Step 4: Simplify right side
    4,873.54x = 11,598,753.38
  5. Step 5: Solve for x
    x = 11,598,753.38/4,873.54
  6. Step 6: Final answer
    x = 2,379.94

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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.