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Finding the Fourth Proportional to 5,362.56, 8,047 and 2,242.33

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Solution

The fourth proportional to 5,362.56, 8,047 and 2,242.33 is: 3,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.56 : 8,047 = 2,242.33 : x
  2. Step 2: Convert to fraction form
    5,362.56/8,047 = 2,242.33/x
  3. Step 3: Cross multiply
    5,362.56x = 8,047 × 2,242.33
  4. Step 4: Simplify right side
    5,362.56x = 18,044,029.51
  5. Step 5: Solve for x
    x = 18,044,029.51/5,362.56
  6. Step 6: Final answer
    x = 3,364.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.