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Finding the Fourth Proportional to 3,475.98, 5,214.36 and 1,396.70

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Solution

The fourth proportional to 3,475.98, 5,214.36 and 1,396.70 is: 2,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.98 : 5,214.36 = 1,396.70 : x
  2. Step 2: Convert to fraction form
    3,475.98/5,214.36 = 1,396.70/x
  3. Step 3: Cross multiply
    3,475.98x = 5,214.36 × 1,396.70
  4. Step 4: Simplify right side
    3,475.98x = 7,282,896.61
  5. Step 5: Solve for x
    x = 7,282,896.61/3,475.98
  6. Step 6: Final answer
    x = 2,095.21

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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.