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Finding the Fourth Proportional to 4,592.25, 6,889.82 and 1,995.57

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Solution

The fourth proportional to 4,592.25, 6,889.82 and 1,995.57 is: 2,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.25 : 6,889.82 = 1,995.57 : x
  2. Step 2: Convert to fraction form
    4,592.25/6,889.82 = 1,995.57/x
  3. Step 3: Cross multiply
    4,592.25x = 6,889.82 × 1,995.57
  4. Step 4: Simplify right side
    4,592.25x = 13,749,108.12
  5. Step 5: Solve for x
    x = 13,749,108.12/4,592.25
  6. Step 6: Final answer
    x = 2,993.98

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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.