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Finding the Fourth Proportional to 5,411.40, 7,467.48 and 3,021.24

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Solution

The fourth proportional to 5,411.40, 7,467.48 and 3,021.24 is: 4,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.40 : 7,467.48 = 3,021.24 : x
  2. Step 2: Convert to fraction form
    5,411.40/7,467.48 = 3,021.24/x
  3. Step 3: Cross multiply
    5,411.40x = 7,467.48 × 3,021.24
  4. Step 4: Simplify right side
    5,411.40x = 22,561,049.28
  5. Step 5: Solve for x
    x = 22,561,049.28/5,411.40
  6. Step 6: Final answer
    x = 4,169.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.