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Finding the Fourth Proportional to 5,817.54, 8,028.98 and 5,659.23

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Solution

The fourth proportional to 5,817.54, 8,028.98 and 5,659.23 is: 7,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.54 : 8,028.98 = 5,659.23 : x
  2. Step 2: Convert to fraction form
    5,817.54/8,028.98 = 5,659.23/x
  3. Step 3: Cross multiply
    5,817.54x = 8,028.98 × 5,659.23
  4. Step 4: Simplify right side
    5,817.54x = 45,437,844.49
  5. Step 5: Solve for x
    x = 45,437,844.49/5,817.54
  6. Step 6: Final answer
    x = 7,810.49

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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.