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Finding the Fourth Proportional to 3,438.09, 5,159.30 and 1,463.71

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Solution

The fourth proportional to 3,438.09, 5,159.30 and 1,463.71 is: 2,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.09 : 5,159.30 = 1,463.71 : x
  2. Step 2: Convert to fraction form
    3,438.09/5,159.30 = 1,463.71/x
  3. Step 3: Cross multiply
    3,438.09x = 5,159.30 × 1,463.71
  4. Step 4: Simplify right side
    3,438.09x = 7,551,711.68
  5. Step 5: Solve for x
    x = 7,551,711.68/3,438.09
  6. Step 6: Final answer
    x = 2,196.49

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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.