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Finding the Fourth Proportional to 3,903.81, 5,857.34 and 2,056.29

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Solution

The fourth proportional to 3,903.81, 5,857.34 and 2,056.29 is: 3,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.81 : 5,857.34 = 2,056.29 : x
  2. Step 2: Convert to fraction form
    3,903.81/5,857.34 = 2,056.29/x
  3. Step 3: Cross multiply
    3,903.81x = 5,857.34 × 2,056.29
  4. Step 4: Simplify right side
    3,903.81x = 12,044,379.39
  5. Step 5: Solve for x
    x = 12,044,379.39/3,903.81
  6. Step 6: Final answer
    x = 3,085.29

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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.