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Finding the Fourth Proportional to 3,894.50, 5,374.21 and 2,125.77

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Solution

The fourth proportional to 3,894.50, 5,374.21 and 2,125.77 is: 2,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.50 : 5,374.21 = 2,125.77 : x
  2. Step 2: Convert to fraction form
    3,894.50/5,374.21 = 2,125.77/x
  3. Step 3: Cross multiply
    3,894.50x = 5,374.21 × 2,125.77
  4. Step 4: Simplify right side
    3,894.50x = 11,424,334.39
  5. Step 5: Solve for x
    x = 11,424,334.39/3,894.50
  6. Step 6: Final answer
    x = 2,933.45

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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.