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Finding the Fourth Proportional to 3,606.92, 5,410.41 and 1,415.87

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Solution

The fourth proportional to 3,606.92, 5,410.41 and 1,415.87 is: 2,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.92 : 5,410.41 = 1,415.87 : x
  2. Step 2: Convert to fraction form
    3,606.92/5,410.41 = 1,415.87/x
  3. Step 3: Cross multiply
    3,606.92x = 5,410.41 × 1,415.87
  4. Step 4: Simplify right side
    3,606.92x = 7,660,437.21
  5. Step 5: Solve for x
    x = 7,660,437.21/3,606.92
  6. Step 6: Final answer
    x = 2,123.82

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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.