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Finding the Fourth Proportional to 3,725, 5,150.10 and 3,561.80

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Solution

The fourth proportional to 3,725, 5,150.10 and 3,561.80 is: 4,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725 : 5,150.10 = 3,561.80 : x
  2. Step 2: Convert to fraction form
    3,725/5,150.10 = 3,561.80/x
  3. Step 3: Cross multiply
    3,725x = 5,150.10 × 3,561.80
  4. Step 4: Simplify right side
    3,725x = 18,343,626.18
  5. Step 5: Solve for x
    x = 18,343,626.18/3,725
  6. Step 6: Final answer
    x = 4,924.46

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