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Finding the Fourth Proportional to 5,002.32, 6,890.40 and 4,161.36

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Solution

The fourth proportional to 5,002.32, 6,890.40 and 4,161.36 is: 5,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.32 : 6,890.40 = 4,161.36 : x
  2. Step 2: Convert to fraction form
    5,002.32/6,890.40 = 4,161.36/x
  3. Step 3: Cross multiply
    5,002.32x = 6,890.40 × 4,161.36
  4. Step 4: Simplify right side
    5,002.32x = 28,673,434.94
  5. Step 5: Solve for x
    x = 28,673,434.94/5,002.32
  6. Step 6: Final answer
    x = 5,732.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.