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Finding the Fourth Proportional to 5,796.04, 7,999.56 and 3,439

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Solution

The fourth proportional to 5,796.04, 7,999.56 and 3,439 is: 4,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.04 : 7,999.56 = 3,439 : x
  2. Step 2: Convert to fraction form
    5,796.04/7,999.56 = 3,439/x
  3. Step 3: Cross multiply
    5,796.04x = 7,999.56 × 3,439
  4. Step 4: Simplify right side
    5,796.04x = 27,510,486.84
  5. Step 5: Solve for x
    x = 27,510,486.84/5,796.04
  6. Step 6: Final answer
    x = 4,746.43

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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.