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Finding the Fourth Proportional to 5,399, 7,453.86 and 3,539.24

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Solution

The fourth proportional to 5,399, 7,453.86 and 3,539.24 is: 4,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399 : 7,453.86 = 3,539.24 : x
  2. Step 2: Convert to fraction form
    5,399/7,453.86 = 3,539.24/x
  3. Step 3: Cross multiply
    5,399x = 7,453.86 × 3,539.24
  4. Step 4: Simplify right side
    5,399x = 26,380,999.47
  5. Step 5: Solve for x
    x = 26,380,999.47/5,399
  6. Step 6: Final answer
    x = 4,886.28

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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.