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Finding the Fourth Proportional to 4,271.42, 5,894.49 and 2,408.42

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Solution

The fourth proportional to 4,271.42, 5,894.49 and 2,408.42 is: 3,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.42 : 5,894.49 = 2,408.42 : x
  2. Step 2: Convert to fraction form
    4,271.42/5,894.49 = 2,408.42/x
  3. Step 3: Cross multiply
    4,271.42x = 5,894.49 × 2,408.42
  4. Step 4: Simplify right side
    4,271.42x = 14,196,407.61
  5. Step 5: Solve for x
    x = 14,196,407.61/4,271.42
  6. Step 6: Final answer
    x = 3,323.58

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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.