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Finding the Fourth Proportional to 3,683.51, 5,083.08 and 2,004.92

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Solution

The fourth proportional to 3,683.51, 5,083.08 and 2,004.92 is: 2,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.51 : 5,083.08 = 2,004.92 : x
  2. Step 2: Convert to fraction form
    3,683.51/5,083.08 = 2,004.92/x
  3. Step 3: Cross multiply
    3,683.51x = 5,083.08 × 2,004.92
  4. Step 4: Simplify right side
    3,683.51x = 10,191,143.34
  5. Step 5: Solve for x
    x = 10,191,143.34/3,683.51
  6. Step 6: Final answer
    x = 2,766.70

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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.