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Finding the Fourth Proportional to 3,408.48, 5,108.40 and 1,458.54

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Solution

The fourth proportional to 3,408.48, 5,108.40 and 1,458.54 is: 2,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.48 : 5,108.40 = 1,458.54 : x
  2. Step 2: Convert to fraction form
    3,408.48/5,108.40 = 1,458.54/x
  3. Step 3: Cross multiply
    3,408.48x = 5,108.40 × 1,458.54
  4. Step 4: Simplify right side
    3,408.48x = 7,450,805.74
  5. Step 5: Solve for x
    x = 7,450,805.74/3,408.48
  6. Step 6: Final answer
    x = 2,185.96

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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.