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Finding the Fourth Proportional to 3,885.54, 5,804.29 and 3,494.92

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Solution

The fourth proportional to 3,885.54, 5,804.29 and 3,494.92 is: 5,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.54 : 5,804.29 = 3,494.92 : x
  2. Step 2: Convert to fraction form
    3,885.54/5,804.29 = 3,494.92/x
  3. Step 3: Cross multiply
    3,885.54x = 5,804.29 × 3,494.92
  4. Step 4: Simplify right side
    3,885.54x = 20,285,529.21
  5. Step 5: Solve for x
    x = 20,285,529.21/3,885.54
  6. Step 6: Final answer
    x = 5,220.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.