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Finding the Fourth Proportional to 5,370.42, 7,411.50 and 3,012.70

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Solution

The fourth proportional to 5,370.42, 7,411.50 and 3,012.70 is: 4,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.42 : 7,411.50 = 3,012.70 : x
  2. Step 2: Convert to fraction form
    5,370.42/7,411.50 = 3,012.70/x
  3. Step 3: Cross multiply
    5,370.42x = 7,411.50 × 3,012.70
  4. Step 4: Simplify right side
    5,370.42x = 22,328,626.05
  5. Step 5: Solve for x
    x = 22,328,626.05/5,370.42
  6. Step 6: Final answer
    x = 4,157.71

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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.