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Finding the Fourth Proportional to 3,971.23, 5,480.16 and 2,203.00

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Solution

The fourth proportional to 3,971.23, 5,480.16 and 2,203.00 is: 3,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.23 : 5,480.16 = 2,203.00 : x
  2. Step 2: Convert to fraction form
    3,971.23/5,480.16 = 2,203.00/x
  3. Step 3: Cross multiply
    3,971.23x = 5,480.16 × 2,203.00
  4. Step 4: Simplify right side
    3,971.23x = 12,072,806.18
  5. Step 5: Solve for x
    x = 12,072,806.18/3,971.23
  6. Step 6: Final answer
    x = 3,040.07

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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.