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Finding the Fourth Proportional to 3,408.47, 4,699.73 and 2,346.80

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Solution

The fourth proportional to 3,408.47, 4,699.73 and 2,346.80 is: 3,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.47 : 4,699.73 = 2,346.80 : x
  2. Step 2: Convert to fraction form
    3,408.47/4,699.73 = 2,346.80/x
  3. Step 3: Cross multiply
    3,408.47x = 4,699.73 × 2,346.80
  4. Step 4: Simplify right side
    3,408.47x = 11,029,291.13
  5. Step 5: Solve for x
    x = 11,029,291.13/3,408.47
  6. Step 6: Final answer
    x = 3,235.85

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