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Finding the Fourth Proportional to 3,385.72, 5,054.20 and 2,890

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Solution

The fourth proportional to 3,385.72, 5,054.20 and 2,890 is: 4,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.72 : 5,054.20 = 2,890 : x
  2. Step 2: Convert to fraction form
    3,385.72/5,054.20 = 2,890/x
  3. Step 3: Cross multiply
    3,385.72x = 5,054.20 × 2,890
  4. Step 4: Simplify right side
    3,385.72x = 14,606,638
  5. Step 5: Solve for x
    x = 14,606,638/3,385.72
  6. Step 6: Final answer
    x = 4,314.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.