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Finding the Fourth Proportional to 3,888.36, 5,832.60 and 966.67

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Solution

The fourth proportional to 3,888.36, 5,832.60 and 966.67 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.36 : 5,832.60 = 966.67 : x
  2. Step 2: Convert to fraction form
    3,888.36/5,832.60 = 966.67/x
  3. Step 3: Cross multiply
    3,888.36x = 5,832.60 × 966.67
  4. Step 4: Simplify right side
    3,888.36x = 5,638,199.44
  5. Step 5: Solve for x
    x = 5,638,199.44/3,888.36
  6. Step 6: Final answer
    x = 1,450.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.