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Finding the Fourth Proportional to 5,179.69, 7,768.46 and 4,307.79

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Solution

The fourth proportional to 5,179.69, 7,768.46 and 4,307.79 is: 6,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.69 : 7,768.46 = 4,307.79 : x
  2. Step 2: Convert to fraction form
    5,179.69/7,768.46 = 4,307.79/x
  3. Step 3: Cross multiply
    5,179.69x = 7,768.46 × 4,307.79
  4. Step 4: Simplify right side
    5,179.69x = 33,464,923.58
  5. Step 5: Solve for x
    x = 33,464,923.58/5,179.69
  6. Step 6: Final answer
    x = 6,460.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.