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Finding the Fourth Proportional to 5,698.01, 8,541.79 and 1,998.23

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Solution

The fourth proportional to 5,698.01, 8,541.79 and 1,998.23 is: 2,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.01 : 8,541.79 = 1,998.23 : x
  2. Step 2: Convert to fraction form
    5,698.01/8,541.79 = 1,998.23/x
  3. Step 3: Cross multiply
    5,698.01x = 8,541.79 × 1,998.23
  4. Step 4: Simplify right side
    5,698.01x = 17,068,461.03
  5. Step 5: Solve for x
    x = 17,068,461.03/5,698.01
  6. Step 6: Final answer
    x = 2,995.51

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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.