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Finding the Fourth Proportional to 3,980.64, 5,490.24 and 3,532.98

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Solution

The fourth proportional to 3,980.64, 5,490.24 and 3,532.98 is: 4,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,490.24 = 3,532.98 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,490.24 = 3,532.98/x
  3. Step 3: Cross multiply
    3,980.64x = 5,490.24 × 3,532.98
  4. Step 4: Simplify right side
    3,980.64x = 19,396,908.12
  5. Step 5: Solve for x
    x = 19,396,908.12/3,980.64
  6. Step 6: Final answer
    x = 4,872.81

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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.