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Finding the Fourth Proportional to 3,353.86, 5,032.00 and 1,621.27

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Solution

The fourth proportional to 3,353.86, 5,032.00 and 1,621.27 is: 2,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.86 : 5,032.00 = 1,621.27 : x
  2. Step 2: Convert to fraction form
    3,353.86/5,032.00 = 1,621.27/x
  3. Step 3: Cross multiply
    3,353.86x = 5,032.00 × 1,621.27
  4. Step 4: Simplify right side
    3,353.86x = 8,158,206.09
  5. Step 5: Solve for x
    x = 8,158,206.09/3,353.86
  6. Step 6: Final answer
    x = 2,432.49

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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.