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Finding the Fourth Proportional to 5,738.46, 8,606.40 and 1,990.02

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Solution

The fourth proportional to 5,738.46, 8,606.40 and 1,990.02 is: 2,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.46 : 8,606.40 = 1,990.02 : x
  2. Step 2: Convert to fraction form
    5,738.46/8,606.40 = 1,990.02/x
  3. Step 3: Cross multiply
    5,738.46x = 8,606.40 × 1,990.02
  4. Step 4: Simplify right side
    5,738.46x = 17,126,908.13
  5. Step 5: Solve for x
    x = 17,126,908.13/5,738.46
  6. Step 6: Final answer
    x = 2,984.58

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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.