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Finding the Fourth Proportional to 5,899.84, 8,141.80 and 3,247.42

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Solution

The fourth proportional to 5,899.84, 8,141.80 and 3,247.42 is: 4,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.84 : 8,141.80 = 3,247.42 : x
  2. Step 2: Convert to fraction form
    5,899.84/8,141.80 = 3,247.42/x
  3. Step 3: Cross multiply
    5,899.84x = 8,141.80 × 3,247.42
  4. Step 4: Simplify right side
    5,899.84x = 26,439,844.16
  5. Step 5: Solve for x
    x = 26,439,844.16/5,899.84
  6. Step 6: Final answer
    x = 4,481.45

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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.