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Finding the Fourth Proportional to 4,180.29, 5,769.65 and 2,411.65

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Solution

The fourth proportional to 4,180.29, 5,769.65 and 2,411.65 is: 3,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.29 : 5,769.65 = 2,411.65 : x
  2. Step 2: Convert to fraction form
    4,180.29/5,769.65 = 2,411.65/x
  3. Step 3: Cross multiply
    4,180.29x = 5,769.65 × 2,411.65
  4. Step 4: Simplify right side
    4,180.29x = 13,914,376.42
  5. Step 5: Solve for x
    x = 13,914,376.42/4,180.29
  6. Step 6: Final answer
    x = 3,328.57

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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.