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Finding the Fourth Proportional to 4,657, 6,425.94 and 2,768.62

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Solution

The fourth proportional to 4,657, 6,425.94 and 2,768.62 is: 3,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 6,425.94 = 2,768.62 : x
  2. Step 2: Convert to fraction form
    4,657/6,425.94 = 2,768.62/x
  3. Step 3: Cross multiply
    4,657x = 6,425.94 × 2,768.62
  4. Step 4: Simplify right side
    4,657x = 17,790,986.00
  5. Step 5: Solve for x
    x = 17,790,986.00/4,657
  6. Step 6: Final answer
    x = 3,820.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.