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Finding the Fourth Proportional to 4,659.39, 6,431.33 and 2,772.31

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Solution

The fourth proportional to 4,659.39, 6,431.33 and 2,772.31 is: 3,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.39 : 6,431.33 = 2,772.31 : x
  2. Step 2: Convert to fraction form
    4,659.39/6,431.33 = 2,772.31/x
  3. Step 3: Cross multiply
    4,659.39x = 6,431.33 × 2,772.31
  4. Step 4: Simplify right side
    4,659.39x = 17,829,640.47
  5. Step 5: Solve for x
    x = 17,829,640.47/4,659.39
  6. Step 6: Final answer
    x = 3,826.60

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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.