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Finding the Fourth Proportional to 5,972.06, 8,958.47 and 1,589.42

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Solution

The fourth proportional to 5,972.06, 8,958.47 and 1,589.42 is: 2,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 8,958.47 = 1,589.42 : x
  2. Step 2: Convert to fraction form
    5,972.06/8,958.47 = 1,589.42/x
  3. Step 3: Cross multiply
    5,972.06x = 8,958.47 × 1,589.42
  4. Step 4: Simplify right side
    5,972.06x = 14,238,785.84
  5. Step 5: Solve for x
    x = 14,238,785.84/5,972.06
  6. Step 6: Final answer
    x = 2,384.23

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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.