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Finding the Fourth Proportional to 3,770.75, 5,655.03 and 1,304.93

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Solution

The fourth proportional to 3,770.75, 5,655.03 and 1,304.93 is: 1,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.75 : 5,655.03 = 1,304.93 : x
  2. Step 2: Convert to fraction form
    3,770.75/5,655.03 = 1,304.93/x
  3. Step 3: Cross multiply
    3,770.75x = 5,655.03 × 1,304.93
  4. Step 4: Simplify right side
    3,770.75x = 7,379,418.30
  5. Step 5: Solve for x
    x = 7,379,418.30/3,770.75
  6. Step 6: Final answer
    x = 1,957.02

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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.