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Finding the Fourth Proportional to 4,769.06, 6,582.67 and 2,880.34

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Solution

The fourth proportional to 4,769.06, 6,582.67 and 2,880.34 is: 3,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.06 : 6,582.67 = 2,880.34 : x
  2. Step 2: Convert to fraction form
    4,769.06/6,582.67 = 2,880.34/x
  3. Step 3: Cross multiply
    4,769.06x = 6,582.67 × 2,880.34
  4. Step 4: Simplify right side
    4,769.06x = 18,960,304.05
  5. Step 5: Solve for x
    x = 18,960,304.05/4,769.06
  6. Step 6: Final answer
    x = 3,975.69

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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.