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Finding the Fourth Proportional to 3,770.58, 5,655.87 and 1,175.34

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Solution

The fourth proportional to 3,770.58, 5,655.87 and 1,175.34 is: 1,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.58 : 5,655.87 = 1,175.34 : x
  2. Step 2: Convert to fraction form
    3,770.58/5,655.87 = 1,175.34/x
  3. Step 3: Cross multiply
    3,770.58x = 5,655.87 × 1,175.34
  4. Step 4: Simplify right side
    3,770.58x = 6,647,570.25
  5. Step 5: Solve for x
    x = 6,647,570.25/3,770.58
  6. Step 6: Final answer
    x = 1,763.01

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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.