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Finding the Fourth Proportional to 3,549.93, 5,324.04 and 1,574.48

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Solution

The fourth proportional to 3,549.93, 5,324.04 and 1,574.48 is: 2,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.93 : 5,324.04 = 1,574.48 : x
  2. Step 2: Convert to fraction form
    3,549.93/5,324.04 = 1,574.48/x
  3. Step 3: Cross multiply
    3,549.93x = 5,324.04 × 1,574.48
  4. Step 4: Simplify right side
    3,549.93x = 8,382,567.88
  5. Step 5: Solve for x
    x = 8,382,567.88/3,549.93
  6. Step 6: Final answer
    x = 2,361.33

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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.