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Finding the Fourth Proportional to 4,201.70, 5,798.03 and 2,432.97

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Solution

The fourth proportional to 4,201.70, 5,798.03 and 2,432.97 is: 3,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.70 : 5,798.03 = 2,432.97 : x
  2. Step 2: Convert to fraction form
    4,201.70/5,798.03 = 2,432.97/x
  3. Step 3: Cross multiply
    4,201.70x = 5,798.03 × 2,432.97
  4. Step 4: Simplify right side
    4,201.70x = 14,106,420.88
  5. Step 5: Solve for x
    x = 14,106,420.88/4,201.70
  6. Step 6: Final answer
    x = 3,357.32

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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.