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Finding the Fourth Proportional to 4,180.55, 5,769.15 and 2,412.15

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Solution

The fourth proportional to 4,180.55, 5,769.15 and 2,412.15 is: 3,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.55 : 5,769.15 = 2,412.15 : x
  2. Step 2: Convert to fraction form
    4,180.55/5,769.15 = 2,412.15/x
  3. Step 3: Cross multiply
    4,180.55x = 5,769.15 × 2,412.15
  4. Step 4: Simplify right side
    4,180.55x = 13,916,055.62
  5. Step 5: Solve for x
    x = 13,916,055.62/4,180.55
  6. Step 6: Final answer
    x = 3,328.77

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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.