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Finding the Fourth Proportional to 4,271.52, 5,894.68 and 2,408.52

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Solution

The fourth proportional to 4,271.52, 5,894.68 and 2,408.52 is: 3,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.52 : 5,894.68 = 2,408.52 : x
  2. Step 2: Convert to fraction form
    4,271.52/5,894.68 = 2,408.52/x
  3. Step 3: Cross multiply
    4,271.52x = 5,894.68 × 2,408.52
  4. Step 4: Simplify right side
    4,271.52x = 14,197,454.67
  5. Step 5: Solve for x
    x = 14,197,454.67/4,271.52
  6. Step 6: Final answer
    x = 3,323.75

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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.