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Finding the Fourth Proportional to 3,842.01, 5,765.25 and 1,620.71

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Solution

The fourth proportional to 3,842.01, 5,765.25 and 1,620.71 is: 2,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.01 : 5,765.25 = 1,620.71 : x
  2. Step 2: Convert to fraction form
    3,842.01/5,765.25 = 1,620.71/x
  3. Step 3: Cross multiply
    3,842.01x = 5,765.25 × 1,620.71
  4. Step 4: Simplify right side
    3,842.01x = 9,343,769.50
  5. Step 5: Solve for x
    x = 9,343,769.50/3,842.01
  6. Step 6: Final answer
    x = 2,432.00

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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.