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Finding the Fourth Proportional to 3,645.42, 5,467.52 and 1,047.75

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Solution

The fourth proportional to 3,645.42, 5,467.52 and 1,047.75 is: 1,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.42 : 5,467.52 = 1,047.75 : x
  2. Step 2: Convert to fraction form
    3,645.42/5,467.52 = 1,047.75/x
  3. Step 3: Cross multiply
    3,645.42x = 5,467.52 × 1,047.75
  4. Step 4: Simplify right side
    3,645.42x = 5,728,588.84
  5. Step 5: Solve for x
    x = 5,728,588.84/3,645.42
  6. Step 6: Final answer
    x = 1,571.45

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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.