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Finding the Fourth Proportional to 3,670.87, 5,502.37 and 1,205.03

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Solution

The fourth proportional to 3,670.87, 5,502.37 and 1,205.03 is: 1,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.87 : 5,502.37 = 1,205.03 : x
  2. Step 2: Convert to fraction form
    3,670.87/5,502.37 = 1,205.03/x
  3. Step 3: Cross multiply
    3,670.87x = 5,502.37 × 1,205.03
  4. Step 4: Simplify right side
    3,670.87x = 6,630,520.92
  5. Step 5: Solve for x
    x = 6,630,520.92/3,670.87
  6. Step 6: Final answer
    x = 1,806.25

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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.