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Finding the Fourth Proportional to 3,258.35, 4,887.15 and 949.85

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Solution

The fourth proportional to 3,258.35, 4,887.15 and 949.85 is: 1,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.35 : 4,887.15 = 949.85 : x
  2. Step 2: Convert to fraction form
    3,258.35/4,887.15 = 949.85/x
  3. Step 3: Cross multiply
    3,258.35x = 4,887.15 × 949.85
  4. Step 4: Simplify right side
    3,258.35x = 4,642,059.43
  5. Step 5: Solve for x
    x = 4,642,059.43/3,258.35
  6. Step 6: Final answer
    x = 1,424.67

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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.