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Finding the Fourth Proportional to 5,150.37, 7,725.86 and 1,452.92

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Solution

The fourth proportional to 5,150.37, 7,725.86 and 1,452.92 is: 2,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.37 : 7,725.86 = 1,452.92 : x
  2. Step 2: Convert to fraction form
    5,150.37/7,725.86 = 1,452.92/x
  3. Step 3: Cross multiply
    5,150.37x = 7,725.86 × 1,452.92
  4. Step 4: Simplify right side
    5,150.37x = 11,225,021.51
  5. Step 5: Solve for x
    x = 11,225,021.51/5,150.37
  6. Step 6: Final answer
    x = 2,179.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.