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Finding the Fourth Proportional to 3,599.38, 5,399.75 and 1,407.97

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Solution

The fourth proportional to 3,599.38, 5,399.75 and 1,407.97 is: 2,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.38 : 5,399.75 = 1,407.97 : x
  2. Step 2: Convert to fraction form
    3,599.38/5,399.75 = 1,407.97/x
  3. Step 3: Cross multiply
    3,599.38x = 5,399.75 × 1,407.97
  4. Step 4: Simplify right side
    3,599.38x = 7,602,677.50
  5. Step 5: Solve for x
    x = 7,602,677.50/3,599.38
  6. Step 6: Final answer
    x = 2,112.22

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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.