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Finding the Fourth Proportional to 3,846.56, 5,762.52 and 2,283.26

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Solution

The fourth proportional to 3,846.56, 5,762.52 and 2,283.26 is: 3,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.56 : 5,762.52 = 2,283.26 : x
  2. Step 2: Convert to fraction form
    3,846.56/5,762.52 = 2,283.26/x
  3. Step 3: Cross multiply
    3,846.56x = 5,762.52 × 2,283.26
  4. Step 4: Simplify right side
    3,846.56x = 13,157,302.60
  5. Step 5: Solve for x
    x = 13,157,302.60/3,846.56
  6. Step 6: Final answer
    x = 3,420.54

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Why These Related Problems?

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