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Finding the Fourth Proportional to 3,988.11, 5,984.10 and 1,616.12

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Solution

The fourth proportional to 3,988.11, 5,984.10 and 1,616.12 is: 2,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.11 : 5,984.10 = 1,616.12 : x
  2. Step 2: Convert to fraction form
    3,988.11/5,984.10 = 1,616.12/x
  3. Step 3: Cross multiply
    3,988.11x = 5,984.10 × 1,616.12
  4. Step 4: Simplify right side
    3,988.11x = 9,670,993.77
  5. Step 5: Solve for x
    x = 9,670,993.77/3,988.11
  6. Step 6: Final answer
    x = 2,424.96

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1.5x scale

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.