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Finding the Fourth Proportional to 4,271.63, 5,894.84 and 2,408.63

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Solution

The fourth proportional to 4,271.63, 5,894.84 and 2,408.63 is: 3,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.63 : 5,894.84 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    4,271.63/5,894.84 = 2,408.63/x
  3. Step 3: Cross multiply
    4,271.63x = 5,894.84 × 2,408.63
  4. Step 4: Simplify right side
    4,271.63x = 14,198,465.02
  5. Step 5: Solve for x
    x = 14,198,465.02/4,271.63
  6. Step 6: Final answer
    x = 3,323.90

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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.