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Finding the Fourth Proportional to 4,768.29, 6,578.04 and 2,777.67

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Solution

The fourth proportional to 4,768.29, 6,578.04 and 2,777.67 is: 3,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.29 : 6,578.04 = 2,777.67 : x
  2. Step 2: Convert to fraction form
    4,768.29/6,578.04 = 2,777.67/x
  3. Step 3: Cross multiply
    4,768.29x = 6,578.04 × 2,777.67
  4. Step 4: Simplify right side
    4,768.29x = 18,271,624.37
  5. Step 5: Solve for x
    x = 18,271,624.37/4,768.29
  6. Step 6: Final answer
    x = 3,831.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.