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Finding the Fourth Proportional to 3,589.80, 5,384.74 and 1,124.44

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Solution

The fourth proportional to 3,589.80, 5,384.74 and 1,124.44 is: 1,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.80 : 5,384.74 = 1,124.44 : x
  2. Step 2: Convert to fraction form
    3,589.80/5,384.74 = 1,124.44/x
  3. Step 3: Cross multiply
    3,589.80x = 5,384.74 × 1,124.44
  4. Step 4: Simplify right side
    3,589.80x = 6,054,817.05
  5. Step 5: Solve for x
    x = 6,054,817.05/3,589.80
  6. Step 6: Final answer
    x = 1,686.67

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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.