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Finding the Fourth Proportional to 5,796.40, 7,999.15 and 3,278.52

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Solution

The fourth proportional to 5,796.40, 7,999.15 and 3,278.52 is: 4,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.40 : 7,999.15 = 3,278.52 : x
  2. Step 2: Convert to fraction form
    5,796.40/7,999.15 = 3,278.52/x
  3. Step 3: Cross multiply
    5,796.40x = 7,999.15 × 3,278.52
  4. Step 4: Simplify right side
    5,796.40x = 26,225,373.26
  5. Step 5: Solve for x
    x = 26,225,373.26/5,796.40
  6. Step 6: Final answer
    x = 4,524.42

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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.