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Finding the Fourth Proportional to 3,492.42, 5,238.49 and 895.34

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Solution

The fourth proportional to 3,492.42, 5,238.49 and 895.34 is: 1,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.42 : 5,238.49 = 895.34 : x
  2. Step 2: Convert to fraction form
    3,492.42/5,238.49 = 895.34/x
  3. Step 3: Cross multiply
    3,492.42x = 5,238.49 × 895.34
  4. Step 4: Simplify right side
    3,492.42x = 4,690,229.64
  5. Step 5: Solve for x
    x = 4,690,229.64/3,492.42
  6. Step 6: Final answer
    x = 1,342.97

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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.