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Finding the Fourth Proportional to 5,796.24, 7,998.24 and 3,405.60

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Solution

The fourth proportional to 5,796.24, 7,998.24 and 3,405.60 is: 4,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.24 : 7,998.24 = 3,405.60 : x
  2. Step 2: Convert to fraction form
    5,796.24/7,998.24 = 3,405.60/x
  3. Step 3: Cross multiply
    5,796.24x = 7,998.24 × 3,405.60
  4. Step 4: Simplify right side
    5,796.24x = 27,238,806.14
  5. Step 5: Solve for x
    x = 27,238,806.14/5,796.24
  6. Step 6: Final answer
    x = 4,699.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.