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Finding the Fourth Proportional to 5,662.46, 7,814.52 and 3,539.31

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Solution

The fourth proportional to 5,662.46, 7,814.52 and 3,539.31 is: 4,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.46 : 7,814.52 = 3,539.31 : x
  2. Step 2: Convert to fraction form
    5,662.46/7,814.52 = 3,539.31/x
  3. Step 3: Cross multiply
    5,662.46x = 7,814.52 × 3,539.31
  4. Step 4: Simplify right side
    5,662.46x = 27,658,008.78
  5. Step 5: Solve for x
    x = 27,658,008.78/5,662.46
  6. Step 6: Final answer
    x = 4,884.46

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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.