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Finding the Fourth Proportional to 3,082.32, 4,624.02 and 1,438.02

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Solution

The fourth proportional to 3,082.32, 4,624.02 and 1,438.02 is: 2,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.32 : 4,624.02 = 1,438.02 : x
  2. Step 2: Convert to fraction form
    3,082.32/4,624.02 = 1,438.02/x
  3. Step 3: Cross multiply
    3,082.32x = 4,624.02 × 1,438.02
  4. Step 4: Simplify right side
    3,082.32x = 6,649,433.24
  5. Step 5: Solve for x
    x = 6,649,433.24/3,082.32
  6. Step 6: Final answer
    x = 2,157.28

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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.