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Finding the Fourth Proportional to 3,998.85, 5,516.96 and 2,506.83

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Solution

The fourth proportional to 3,998.85, 5,516.96 and 2,506.83 is: 3,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.85 : 5,516.96 = 2,506.83 : x
  2. Step 2: Convert to fraction form
    3,998.85/5,516.96 = 2,506.83/x
  3. Step 3: Cross multiply
    3,998.85x = 5,516.96 × 2,506.83
  4. Step 4: Simplify right side
    3,998.85x = 13,830,068.30
  5. Step 5: Solve for x
    x = 13,830,068.30/3,998.85
  6. Step 6: Final answer
    x = 3,458.51

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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.