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Finding the Fourth Proportional to 4,656.69, 6,425.91 and 2,768.18

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Solution

The fourth proportional to 4,656.69, 6,425.91 and 2,768.18 is: 3,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.69 : 6,425.91 = 2,768.18 : x
  2. Step 2: Convert to fraction form
    4,656.69/6,425.91 = 2,768.18/x
  3. Step 3: Cross multiply
    4,656.69x = 6,425.91 × 2,768.18
  4. Step 4: Simplify right side
    4,656.69x = 17,788,043.41
  5. Step 5: Solve for x
    x = 17,788,043.41/4,656.69
  6. Step 6: Final answer
    x = 3,819.89

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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.