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Finding the Fourth Proportional to 4,599, 6,899.16 and 1,825.97

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Solution

The fourth proportional to 4,599, 6,899.16 and 1,825.97 is: 2,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599 : 6,899.16 = 1,825.97 : x
  2. Step 2: Convert to fraction form
    4,599/6,899.16 = 1,825.97/x
  3. Step 3: Cross multiply
    4,599x = 6,899.16 × 1,825.97
  4. Step 4: Simplify right side
    4,599x = 12,597,624.69
  5. Step 5: Solve for x
    x = 12,597,624.69/4,599
  6. Step 6: Final answer
    x = 2,739.21

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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.