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Finding the Fourth Proportional to 4,181.18, 5,769.50 and 2,412.50

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Solution

The fourth proportional to 4,181.18, 5,769.50 and 2,412.50 is: 3,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.18 : 5,769.50 = 2,412.50 : x
  2. Step 2: Convert to fraction form
    4,181.18/5,769.50 = 2,412.50/x
  3. Step 3: Cross multiply
    4,181.18x = 5,769.50 × 2,412.50
  4. Step 4: Simplify right side
    4,181.18x = 13,918,918.75
  5. Step 5: Solve for x
    x = 13,918,918.75/4,181.18
  6. Step 6: Final answer
    x = 3,328.95

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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.