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Finding the Fourth Proportional to 5,370.50, 7,412.57 and 3,276.38

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Solution

The fourth proportional to 5,370.50, 7,412.57 and 3,276.38 is: 4,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.50 : 7,412.57 = 3,276.38 : x
  2. Step 2: Convert to fraction form
    5,370.50/7,412.57 = 3,276.38/x
  3. Step 3: Cross multiply
    5,370.50x = 7,412.57 × 3,276.38
  4. Step 4: Simplify right side
    5,370.50x = 24,286,396.10
  5. Step 5: Solve for x
    x = 24,286,396.10/5,370.50
  6. Step 6: Final answer
    x = 4,522.19

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Why These Related Problems?

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