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Finding the Fourth Proportional to 5,696.08, 8,546.32 and 1,998.72

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Solution

The fourth proportional to 5,696.08, 8,546.32 and 1,998.72 is: 2,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.08 : 8,546.32 = 1,998.72 : x
  2. Step 2: Convert to fraction form
    5,696.08/8,546.32 = 1,998.72/x
  3. Step 3: Cross multiply
    5,696.08x = 8,546.32 × 1,998.72
  4. Step 4: Simplify right side
    5,696.08x = 17,081,700.71
  5. Step 5: Solve for x
    x = 17,081,700.71/5,696.08
  6. Step 6: Final answer
    x = 2,998.85

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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.