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Finding the Fourth Proportional to 5,378.07, 7,421.78 and 3,020.43

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Solution

The fourth proportional to 5,378.07, 7,421.78 and 3,020.43 is: 4,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.07 : 7,421.78 = 3,020.43 : x
  2. Step 2: Convert to fraction form
    5,378.07/7,421.78 = 3,020.43/x
  3. Step 3: Cross multiply
    5,378.07x = 7,421.78 × 3,020.43
  4. Step 4: Simplify right side
    5,378.07x = 22,416,974.52
  5. Step 5: Solve for x
    x = 22,416,974.52/5,378.07
  6. Step 6: Final answer
    x = 4,168.22

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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.