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Finding the Fourth Proportional to 5,537.76, 8,306.64 and 1,377.78

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Solution

The fourth proportional to 5,537.76, 8,306.64 and 1,377.78 is: 2,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.76 : 8,306.64 = 1,377.78 : x
  2. Step 2: Convert to fraction form
    5,537.76/8,306.64 = 1,377.78/x
  3. Step 3: Cross multiply
    5,537.76x = 8,306.64 × 1,377.78
  4. Step 4: Simplify right side
    5,537.76x = 11,444,722.46
  5. Step 5: Solve for x
    x = 11,444,722.46/5,537.76
  6. Step 6: Final answer
    x = 2,066.67

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