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Finding the Fourth Proportional to 3,771.60, 5,658.30 and 1,174.56

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Solution

The fourth proportional to 3,771.60, 5,658.30 and 1,174.56 is: 1,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.60 : 5,658.30 = 1,174.56 : x
  2. Step 2: Convert to fraction form
    3,771.60/5,658.30 = 1,174.56/x
  3. Step 3: Cross multiply
    3,771.60x = 5,658.30 × 1,174.56
  4. Step 4: Simplify right side
    3,771.60x = 6,646,012.85
  5. Step 5: Solve for x
    x = 6,646,012.85/3,771.60
  6. Step 6: Final answer
    x = 1,762.12

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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.