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Finding the Fourth Proportional to 4,644.60, 6,409.89 and 2,876.28

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Solution

The fourth proportional to 4,644.60, 6,409.89 and 2,876.28 is: 3,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.60 : 6,409.89 = 2,876.28 : x
  2. Step 2: Convert to fraction form
    4,644.60/6,409.89 = 2,876.28/x
  3. Step 3: Cross multiply
    4,644.60x = 6,409.89 × 2,876.28
  4. Step 4: Simplify right side
    4,644.60x = 18,436,638.41
  5. Step 5: Solve for x
    x = 18,436,638.41/4,644.60
  6. Step 6: Final answer
    x = 3,969.48

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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.