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Finding the Fourth Proportional to 5,494.96, 7,583.80 and 3,137.48

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Solution

The fourth proportional to 5,494.96, 7,583.80 and 3,137.48 is: 4,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.96 : 7,583.80 = 3,137.48 : x
  2. Step 2: Convert to fraction form
    5,494.96/7,583.80 = 3,137.48/x
  3. Step 3: Cross multiply
    5,494.96x = 7,583.80 × 3,137.48
  4. Step 4: Simplify right side
    5,494.96x = 23,794,020.82
  5. Step 5: Solve for x
    x = 23,794,020.82/5,494.96
  6. Step 6: Final answer
    x = 4,330.15

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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.