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Finding the Fourth Proportional to 5,450.76, 8,175 and 1,554.12

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Solution

The fourth proportional to 5,450.76, 8,175 and 1,554.12 is: 2,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.76 : 8,175 = 1,554.12 : x
  2. Step 2: Convert to fraction form
    5,450.76/8,175 = 1,554.12/x
  3. Step 3: Cross multiply
    5,450.76x = 8,175 × 1,554.12
  4. Step 4: Simplify right side
    5,450.76x = 12,704,931
  5. Step 5: Solve for x
    x = 12,704,931/5,450.76
  6. Step 6: Final answer
    x = 2,330.85

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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.