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Finding the Fourth Proportional to 3,895.46, 5,381.16 and 3,475.67

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Solution

The fourth proportional to 3,895.46, 5,381.16 and 3,475.67 is: 4,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.46 : 5,381.16 = 3,475.67 : x
  2. Step 2: Convert to fraction form
    3,895.46/5,381.16 = 3,475.67/x
  3. Step 3: Cross multiply
    3,895.46x = 5,381.16 × 3,475.67
  4. Step 4: Simplify right side
    3,895.46x = 18,703,119.00
  5. Step 5: Solve for x
    x = 18,703,119.00/3,895.46
  6. Step 6: Final answer
    x = 4,801.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.