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Finding the Fourth Proportional to 4,451.65, 6,137.49 and 3,652

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Solution

The fourth proportional to 4,451.65, 6,137.49 and 3,652 is: 5,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.65 : 6,137.49 = 3,652 : x
  2. Step 2: Convert to fraction form
    4,451.65/6,137.49 = 3,652/x
  3. Step 3: Cross multiply
    4,451.65x = 6,137.49 × 3,652
  4. Step 4: Simplify right side
    4,451.65x = 22,414,113.48
  5. Step 5: Solve for x
    x = 22,414,113.48/4,451.65
  6. Step 6: Final answer
    x = 5,035.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.