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Finding the Fourth Proportional to 3,138.93, 4,708.22 and 1,408.77

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Solution

The fourth proportional to 3,138.93, 4,708.22 and 1,408.77 is: 2,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.93 : 4,708.22 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    3,138.93/4,708.22 = 1,408.77/x
  3. Step 3: Cross multiply
    3,138.93x = 4,708.22 × 1,408.77
  4. Step 4: Simplify right side
    3,138.93x = 6,632,792.05
  5. Step 5: Solve for x
    x = 6,632,792.05/3,138.93
  6. Step 6: Final answer
    x = 2,113.07

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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.