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Finding the Fourth Proportional to 4,271.86, 5,894.85 and 2,408.50

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Solution

The fourth proportional to 4,271.86, 5,894.85 and 2,408.50 is: 3,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.86 : 5,894.85 = 2,408.50 : x
  2. Step 2: Convert to fraction form
    4,271.86/5,894.85 = 2,408.50/x
  3. Step 3: Cross multiply
    4,271.86x = 5,894.85 × 2,408.50
  4. Step 4: Simplify right side
    4,271.86x = 14,197,746.23
  5. Step 5: Solve for x
    x = 14,197,746.23/4,271.86
  6. Step 6: Final answer
    x = 3,323.55

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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.