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Finding the Fourth Proportional to 3,744.70, 5,577.80 and 3,555.16

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Solution

The fourth proportional to 3,744.70, 5,577.80 and 3,555.16 is: 5,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.70 : 5,577.80 = 3,555.16 : x
  2. Step 2: Convert to fraction form
    3,744.70/5,577.80 = 3,555.16/x
  3. Step 3: Cross multiply
    3,744.70x = 5,577.80 × 3,555.16
  4. Step 4: Simplify right side
    3,744.70x = 19,829,939.73
  5. Step 5: Solve for x
    x = 19,829,939.73/3,744.70
  6. Step 6: Final answer
    x = 5,295.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.