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Finding the Fourth Proportional to 5,438.67, 7,502.69 and 3,549.37

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Solution

The fourth proportional to 5,438.67, 7,502.69 and 3,549.37 is: 4,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.67 : 7,502.69 = 3,549.37 : x
  2. Step 2: Convert to fraction form
    5,438.67/7,502.69 = 3,549.37/x
  3. Step 3: Cross multiply
    5,438.67x = 7,502.69 × 3,549.37
  4. Step 4: Simplify right side
    5,438.67x = 26,629,822.81
  5. Step 5: Solve for x
    x = 26,629,822.81/5,438.67
  6. Step 6: Final answer
    x = 4,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.