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Finding the Fourth Proportional to 5,759.40, 7,940.64 and 4,416.56

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Solution

The fourth proportional to 5,759.40, 7,940.64 and 4,416.56 is: 6,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.40 : 7,940.64 = 4,416.56 : x
  2. Step 2: Convert to fraction form
    5,759.40/7,940.64 = 4,416.56/x
  3. Step 3: Cross multiply
    5,759.40x = 7,940.64 × 4,416.56
  4. Step 4: Simplify right side
    5,759.40x = 35,070,313.00
  5. Step 5: Solve for x
    x = 35,070,313.00/5,759.40
  6. Step 6: Final answer
    x = 6,089.23

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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.