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Finding the Fourth Proportional to 3,769.07, 5,653.80 and 1,577.88

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Solution

The fourth proportional to 3,769.07, 5,653.80 and 1,577.88 is: 2,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.07 : 5,653.80 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    3,769.07/5,653.80 = 1,577.88/x
  3. Step 3: Cross multiply
    3,769.07x = 5,653.80 × 1,577.88
  4. Step 4: Simplify right side
    3,769.07x = 8,921,017.94
  5. Step 5: Solve for x
    x = 8,921,017.94/3,769.07
  6. Step 6: Final answer
    x = 2,366.90

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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.