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Finding the Fourth Proportional to 3,246.36, 4,868.56 and 905.80

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Solution

The fourth proportional to 3,246.36, 4,868.56 and 905.80 is: 1,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.36 : 4,868.56 = 905.80 : x
  2. Step 2: Convert to fraction form
    3,246.36/4,868.56 = 905.80/x
  3. Step 3: Cross multiply
    3,246.36x = 4,868.56 × 905.80
  4. Step 4: Simplify right side
    3,246.36x = 4,409,941.65
  5. Step 5: Solve for x
    x = 4,409,941.65/3,246.36
  6. Step 6: Final answer
    x = 1,358.43

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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.