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Finding the Fourth Proportional to 5,583.13, 7,704.42 and 3,346.24

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Solution

The fourth proportional to 5,583.13, 7,704.42 and 3,346.24 is: 4,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.13 : 7,704.42 = 3,346.24 : x
  2. Step 2: Convert to fraction form
    5,583.13/7,704.42 = 3,346.24/x
  3. Step 3: Cross multiply
    5,583.13x = 7,704.42 × 3,346.24
  4. Step 4: Simplify right side
    5,583.13x = 25,780,838.38
  5. Step 5: Solve for x
    x = 25,780,838.38/5,583.13
  6. Step 6: Final answer
    x = 4,617.63

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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.