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Finding the Fourth Proportional to 3,777.57, 5,666.64 and 1,180.50

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Solution

The fourth proportional to 3,777.57, 5,666.64 and 1,180.50 is: 1,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.57 : 5,666.64 = 1,180.50 : x
  2. Step 2: Convert to fraction form
    3,777.57/5,666.64 = 1,180.50/x
  3. Step 3: Cross multiply
    3,777.57x = 5,666.64 × 1,180.50
  4. Step 4: Simplify right side
    3,777.57x = 6,689,468.52
  5. Step 5: Solve for x
    x = 6,689,468.52/3,777.57
  6. Step 6: Final answer
    x = 1,770.84

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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.