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Finding the Fourth Proportional to 4,874.77, 7,313.14 and 1,586.98

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Solution

The fourth proportional to 4,874.77, 7,313.14 and 1,586.98 is: 2,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.77 : 7,313.14 = 1,586.98 : x
  2. Step 2: Convert to fraction form
    4,874.77/7,313.14 = 1,586.98/x
  3. Step 3: Cross multiply
    4,874.77x = 7,313.14 × 1,586.98
  4. Step 4: Simplify right side
    4,874.77x = 11,605,806.92
  5. Step 5: Solve for x
    x = 11,605,806.92/4,874.77
  6. Step 6: Final answer
    x = 2,380.79

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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.