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Finding the Fourth Proportional to 5,999.04, 8,216.64 and 5,644.80

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Solution

The fourth proportional to 5,999.04, 8,216.64 and 5,644.80 is: 7,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.04 : 8,216.64 = 5,644.80 : x
  2. Step 2: Convert to fraction form
    5,999.04/8,216.64 = 5,644.80/x
  3. Step 3: Cross multiply
    5,999.04x = 8,216.64 × 5,644.80
  4. Step 4: Simplify right side
    5,999.04x = 46,381,289.47
  5. Step 5: Solve for x
    x = 46,381,289.47/5,999.04
  6. Step 6: Final answer
    x = 7,731.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.