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Finding the Fourth Proportional to 3,082.64, 4,624.32 and 2,388.38

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Solution

The fourth proportional to 3,082.64, 4,624.32 and 2,388.38 is: 3,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.64 : 4,624.32 = 2,388.38 : x
  2. Step 2: Convert to fraction form
    3,082.64/4,624.32 = 2,388.38/x
  3. Step 3: Cross multiply
    3,082.64x = 4,624.32 × 2,388.38
  4. Step 4: Simplify right side
    3,082.64x = 11,044,633.40
  5. Step 5: Solve for x
    x = 11,044,633.40/3,082.64
  6. Step 6: Final answer
    x = 3,582.85

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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.