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Finding the Fourth Proportional to 4,769.69, 6,575.26 and 3,349.05

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Solution

The fourth proportional to 4,769.69, 6,575.26 and 3,349.05 is: 4,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.69 : 6,575.26 = 3,349.05 : x
  2. Step 2: Convert to fraction form
    4,769.69/6,575.26 = 3,349.05/x
  3. Step 3: Cross multiply
    4,769.69x = 6,575.26 × 3,349.05
  4. Step 4: Simplify right side
    4,769.69x = 22,020,884.74
  5. Step 5: Solve for x
    x = 22,020,884.74/4,769.69
  6. Step 6: Final answer
    x = 4,616.84

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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.