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Finding the Fourth Proportional to 5,443.65, 8,169.12 and 1,980.90

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Solution

The fourth proportional to 5,443.65, 8,169.12 and 1,980.90 is: 2,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.65 : 8,169.12 = 1,980.90 : x
  2. Step 2: Convert to fraction form
    5,443.65/8,169.12 = 1,980.90/x
  3. Step 3: Cross multiply
    5,443.65x = 8,169.12 × 1,980.90
  4. Step 4: Simplify right side
    5,443.65x = 16,182,199.90
  5. Step 5: Solve for x
    x = 16,182,199.90/5,443.65
  6. Step 6: Final answer
    x = 2,972.67

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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.