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Finding the Fourth Proportional to 3,408.57, 4,702.70 and 2,778.02

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Solution

The fourth proportional to 3,408.57, 4,702.70 and 2,778.02 is: 3,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.57 : 4,702.70 = 2,778.02 : x
  2. Step 2: Convert to fraction form
    3,408.57/4,702.70 = 2,778.02/x
  3. Step 3: Cross multiply
    3,408.57x = 4,702.70 × 2,778.02
  4. Step 4: Simplify right side
    3,408.57x = 13,064,183.25
  5. Step 5: Solve for x
    x = 13,064,183.25/3,408.57
  6. Step 6: Final answer
    x = 3,832.74

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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.