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Finding the Fourth Proportional to 3,408.60, 4,702.86 and 2,416.44

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Solution

The fourth proportional to 3,408.60, 4,702.86 and 2,416.44 is: 3,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.60 : 4,702.86 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    3,408.60/4,702.86 = 2,416.44/x
  3. Step 3: Cross multiply
    3,408.60x = 4,702.86 × 2,416.44
  4. Step 4: Simplify right side
    3,408.60x = 11,364,179.02
  5. Step 5: Solve for x
    x = 11,364,179.02/3,408.60
  6. Step 6: Final answer
    x = 3,333.97

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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.