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Finding the Fourth Proportional to 3,474.05, 5,211.08 and 876.98

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Solution

The fourth proportional to 3,474.05, 5,211.08 and 876.98 is: 1,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.05 : 5,211.08 = 876.98 : x
  2. Step 2: Convert to fraction form
    3,474.05/5,211.08 = 876.98/x
  3. Step 3: Cross multiply
    3,474.05x = 5,211.08 × 876.98
  4. Step 4: Simplify right side
    3,474.05x = 4,570,028.16
  5. Step 5: Solve for x
    x = 4,570,028.16/3,474.05
  6. Step 6: Final answer
    x = 1,315.48

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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.