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Finding the Fourth Proportional to 3,616.02, 5,422.14 and 1,666.50

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Solution

The fourth proportional to 3,616.02, 5,422.14 and 1,666.50 is: 2,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.02 : 5,422.14 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    3,616.02/5,422.14 = 1,666.50/x
  3. Step 3: Cross multiply
    3,616.02x = 5,422.14 × 1,666.50
  4. Step 4: Simplify right side
    3,616.02x = 9,035,996.31
  5. Step 5: Solve for x
    x = 9,035,996.31/3,616.02
  6. Step 6: Final answer
    x = 2,498.88

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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.