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Finding the Fourth Proportional to 3,888.72, 5,833.08 and 967.05

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Solution

The fourth proportional to 3,888.72, 5,833.08 and 967.05 is: 1,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.72 : 5,833.08 = 967.05 : x
  2. Step 2: Convert to fraction form
    3,888.72/5,833.08 = 967.05/x
  3. Step 3: Cross multiply
    3,888.72x = 5,833.08 × 967.05
  4. Step 4: Simplify right side
    3,888.72x = 5,640,880.01
  5. Step 5: Solve for x
    x = 5,640,880.01/3,888.72
  6. Step 6: Final answer
    x = 1,450.58

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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.