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Finding the Fourth Proportional to 3,263.85, 4,896.32 and 955.89

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Solution

The fourth proportional to 3,263.85, 4,896.32 and 955.89 is: 1,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.85 : 4,896.32 = 955.89 : x
  2. Step 2: Convert to fraction form
    3,263.85/4,896.32 = 955.89/x
  3. Step 3: Cross multiply
    3,263.85x = 4,896.32 × 955.89
  4. Step 4: Simplify right side
    3,263.85x = 4,680,338.55
  5. Step 5: Solve for x
    x = 4,680,338.55/3,263.85
  6. Step 6: Final answer
    x = 1,433.99

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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.