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Finding the Fourth Proportional to 7,549.40, 11,324.97 and 3,651

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Solution

The fourth proportional to 7,549.40, 11,324.97 and 3,651 is: 5,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.40 : 11,324.97 = 3,651 : x
  2. Step 2: Convert to fraction form
    7,549.40/11,324.97 = 3,651/x
  3. Step 3: Cross multiply
    7,549.40x = 11,324.97 × 3,651
  4. Step 4: Simplify right side
    7,549.40x = 41,347,465.47
  5. Step 5: Solve for x
    x = 41,347,465.47/7,549.40
  6. Step 6: Final answer
    x = 5,476.92

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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.