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Finding the Fourth Proportional to 4,683.63, 7,023.83 and 2,081.91

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Solution

The fourth proportional to 4,683.63, 7,023.83 and 2,081.91 is: 3,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.63 : 7,023.83 = 2,081.91 : x
  2. Step 2: Convert to fraction form
    4,683.63/7,023.83 = 2,081.91/x
  3. Step 3: Cross multiply
    4,683.63x = 7,023.83 × 2,081.91
  4. Step 4: Simplify right side
    4,683.63x = 14,622,971.51
  5. Step 5: Solve for x
    x = 14,622,971.51/4,683.63
  6. Step 6: Final answer
    x = 3,122.14

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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.