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Finding the Fourth Proportional to 3,616.62, 5,416.08 and 3,266.01

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Solution

The fourth proportional to 3,616.62, 5,416.08 and 3,266.01 is: 4,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.62 : 5,416.08 = 3,266.01 : x
  2. Step 2: Convert to fraction form
    3,616.62/5,416.08 = 3,266.01/x
  3. Step 3: Cross multiply
    3,616.62x = 5,416.08 × 3,266.01
  4. Step 4: Simplify right side
    3,616.62x = 17,688,979.50
  5. Step 5: Solve for x
    x = 17,688,979.50/3,616.62
  6. Step 6: Final answer
    x = 4,891.03

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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.