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Finding the Fourth Proportional to 5,203.85, 7,181.49 and 2,846.00

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Solution

The fourth proportional to 5,203.85, 7,181.49 and 2,846.00 is: 3,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.85 : 7,181.49 = 2,846.00 : x
  2. Step 2: Convert to fraction form
    5,203.85/7,181.49 = 2,846.00/x
  3. Step 3: Cross multiply
    5,203.85x = 7,181.49 × 2,846.00
  4. Step 4: Simplify right side
    5,203.85x = 20,438,485.64
  5. Step 5: Solve for x
    x = 20,438,485.64/5,203.85
  6. Step 6: Final answer
    x = 3,927.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.