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Finding the Fourth Proportional to 3,773.60, 5,658.12 and 1,581.20

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Solution

The fourth proportional to 3,773.60, 5,658.12 and 1,581.20 is: 2,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.60 : 5,658.12 = 1,581.20 : x
  2. Step 2: Convert to fraction form
    3,773.60/5,658.12 = 1,581.20/x
  3. Step 3: Cross multiply
    3,773.60x = 5,658.12 × 1,581.20
  4. Step 4: Simplify right side
    3,773.60x = 8,946,619.34
  5. Step 5: Solve for x
    x = 8,946,619.34/3,773.60
  6. Step 6: Final answer
    x = 2,370.84

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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.