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Finding the Fourth Proportional to 5,434.16, 8,138.16 and 3,763.68

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Solution

The fourth proportional to 5,434.16, 8,138.16 and 3,763.68 is: 5,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.16 : 8,138.16 = 3,763.68 : x
  2. Step 2: Convert to fraction form
    5,434.16/8,138.16 = 3,763.68/x
  3. Step 3: Cross multiply
    5,434.16x = 8,138.16 × 3,763.68
  4. Step 4: Simplify right side
    5,434.16x = 30,629,430.03
  5. Step 5: Solve for x
    x = 30,629,430.03/5,434.16
  6. Step 6: Final answer
    x = 5,636.46

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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.