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Finding the Fourth Proportional to 5,348.37, 7,378.52 and 4,167.39

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Solution

The fourth proportional to 5,348.37, 7,378.52 and 4,167.39 is: 5,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.37 : 7,378.52 = 4,167.39 : x
  2. Step 2: Convert to fraction form
    5,348.37/7,378.52 = 4,167.39/x
  3. Step 3: Cross multiply
    5,348.37x = 7,378.52 × 4,167.39
  4. Step 4: Simplify right side
    5,348.37x = 30,749,149.63
  5. Step 5: Solve for x
    x = 30,749,149.63/5,348.37
  6. Step 6: Final answer
    x = 5,749.26

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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.