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Finding the Fourth Proportional to 5,508, 7,601.04 and 3,024.16

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Solution

The fourth proportional to 5,508, 7,601.04 and 3,024.16 is: 4,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508 : 7,601.04 = 3,024.16 : x
  2. Step 2: Convert to fraction form
    5,508/7,601.04 = 3,024.16/x
  3. Step 3: Cross multiply
    5,508x = 7,601.04 × 3,024.16
  4. Step 4: Simplify right side
    5,508x = 22,986,761.13
  5. Step 5: Solve for x
    x = 22,986,761.13/5,508
  6. Step 6: Final answer
    x = 4,173.34

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Why These Related Problems?

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