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Finding the Fourth Proportional to 3,989.70, 5,497.02 and 2,977.11

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Solution

The fourth proportional to 3,989.70, 5,497.02 and 2,977.11 is: 4,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.70 : 5,497.02 = 2,977.11 : x
  2. Step 2: Convert to fraction form
    3,989.70/5,497.02 = 2,977.11/x
  3. Step 3: Cross multiply
    3,989.70x = 5,497.02 × 2,977.11
  4. Step 4: Simplify right side
    3,989.70x = 16,365,233.21
  5. Step 5: Solve for x
    x = 16,365,233.21/3,989.70
  6. Step 6: Final answer
    x = 4,101.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.