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Finding the Fourth Proportional to 5,183.46, 7,774.98 and 1,287.78

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Solution

The fourth proportional to 5,183.46, 7,774.98 and 1,287.78 is: 1,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.46 : 7,774.98 = 1,287.78 : x
  2. Step 2: Convert to fraction form
    5,183.46/7,774.98 = 1,287.78/x
  3. Step 3: Cross multiply
    5,183.46x = 7,774.98 × 1,287.78
  4. Step 4: Simplify right side
    5,183.46x = 10,012,463.74
  5. Step 5: Solve for x
    x = 10,012,463.74/5,183.46
  6. Step 6: Final answer
    x = 1,931.62

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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.