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Finding the Fourth Proportional to 5,813.61, 8,022.80 and 3,161.00

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Solution

The fourth proportional to 5,813.61, 8,022.80 and 3,161.00 is: 4,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.61 : 8,022.80 = 3,161.00 : x
  2. Step 2: Convert to fraction form
    5,813.61/8,022.80 = 3,161.00/x
  3. Step 3: Cross multiply
    5,813.61x = 8,022.80 × 3,161.00
  4. Step 4: Simplify right side
    5,813.61x = 25,360,098.76
  5. Step 5: Solve for x
    x = 25,360,098.76/5,813.61
  6. Step 6: Final answer
    x = 4,362.20

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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.