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Finding the Fourth Proportional to 3,606.46, 5,411.10 and 1,414.81

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Solution

The fourth proportional to 3,606.46, 5,411.10 and 1,414.81 is: 2,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.46 : 5,411.10 = 1,414.81 : x
  2. Step 2: Convert to fraction form
    3,606.46/5,411.10 = 1,414.81/x
  3. Step 3: Cross multiply
    3,606.46x = 5,411.10 × 1,414.81
  4. Step 4: Simplify right side
    3,606.46x = 7,655,678.39
  5. Step 5: Solve for x
    x = 7,655,678.39/3,606.46
  6. Step 6: Final answer
    x = 2,122.77

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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.