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Finding the Fourth Proportional to 3,629.50, 5,444.72 and 1,032.51

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Solution

The fourth proportional to 3,629.50, 5,444.72 and 1,032.51 is: 1,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.50 : 5,444.72 = 1,032.51 : x
  2. Step 2: Convert to fraction form
    3,629.50/5,444.72 = 1,032.51/x
  3. Step 3: Cross multiply
    3,629.50x = 5,444.72 × 1,032.51
  4. Step 4: Simplify right side
    3,629.50x = 5,621,727.85
  5. Step 5: Solve for x
    x = 5,621,727.85/3,629.50
  6. Step 6: Final answer
    x = 1,548.90

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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.