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Finding the Fourth Proportional to 3,616.21, 5,420.10 and 1,664.29

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Solution

The fourth proportional to 3,616.21, 5,420.10 and 1,664.29 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.21 : 5,420.10 = 1,664.29 : x
  2. Step 2: Convert to fraction form
    3,616.21/5,420.10 = 1,664.29/x
  3. Step 3: Cross multiply
    3,616.21x = 5,420.10 × 1,664.29
  4. Step 4: Simplify right side
    3,616.21x = 9,020,618.23
  5. Step 5: Solve for x
    x = 9,020,618.23/3,616.21
  6. Step 6: Final answer
    x = 2,494.50

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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.