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Finding the Fourth Proportional to 3,712.54, 5,558 and 1,953.37

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Solution

The fourth proportional to 3,712.54, 5,558 and 1,953.37 is: 2,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.54 : 5,558 = 1,953.37 : x
  2. Step 2: Convert to fraction form
    3,712.54/5,558 = 1,953.37/x
  3. Step 3: Cross multiply
    3,712.54x = 5,558 × 1,953.37
  4. Step 4: Simplify right side
    3,712.54x = 10,856,830.46
  5. Step 5: Solve for x
    x = 10,856,830.46/3,712.54
  6. Step 6: Final answer
    x = 2,924.37

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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.