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Finding the Fourth Proportional to 3,894.09, 5,833.58 and 3,457.77

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Solution

The fourth proportional to 3,894.09, 5,833.58 and 3,457.77 is: 5,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.09 : 5,833.58 = 3,457.77 : x
  2. Step 2: Convert to fraction form
    3,894.09/5,833.58 = 3,457.77/x
  3. Step 3: Cross multiply
    3,894.09x = 5,833.58 × 3,457.77
  4. Step 4: Simplify right side
    3,894.09x = 20,171,160.63
  5. Step 5: Solve for x
    x = 20,171,160.63/3,894.09
  6. Step 6: Final answer
    x = 5,179.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.