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Finding the Fourth Proportional to 3,769.48, 5,654.49 and 1,578.79

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Solution

The fourth proportional to 3,769.48, 5,654.49 and 1,578.79 is: 2,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.48 : 5,654.49 = 1,578.79 : x
  2. Step 2: Convert to fraction form
    3,769.48/5,654.49 = 1,578.79/x
  3. Step 3: Cross multiply
    3,769.48x = 5,654.49 × 1,578.79
  4. Step 4: Simplify right side
    3,769.48x = 8,927,252.27
  5. Step 5: Solve for x
    x = 8,927,252.27/3,769.48
  6. Step 6: Final answer
    x = 2,368.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.