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Finding the Fourth Proportional to 3,512.70, 4,847.76 and 2,332.98

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Solution

The fourth proportional to 3,512.70, 4,847.76 and 2,332.98 is: 3,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.70 : 4,847.76 = 2,332.98 : x
  2. Step 2: Convert to fraction form
    3,512.70/4,847.76 = 2,332.98/x
  3. Step 3: Cross multiply
    3,512.70x = 4,847.76 × 2,332.98
  4. Step 4: Simplify right side
    3,512.70x = 11,309,727.12
  5. Step 5: Solve for x
    x = 11,309,727.12/3,512.70
  6. Step 6: Final answer
    x = 3,219.67

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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.