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Finding the Fourth Proportional to 5,225.36, 7,840.72 and 3,471.57

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Solution

The fourth proportional to 5,225.36, 7,840.72 and 3,471.57 is: 5,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.36 : 7,840.72 = 3,471.57 : x
  2. Step 2: Convert to fraction form
    5,225.36/7,840.72 = 3,471.57/x
  3. Step 3: Cross multiply
    5,225.36x = 7,840.72 × 3,471.57
  4. Step 4: Simplify right side
    5,225.36x = 27,219,608.33
  5. Step 5: Solve for x
    x = 27,219,608.33/5,225.36
  6. Step 6: Final answer
    x = 5,209.14

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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.