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Finding the Fourth Proportional to 5,490.64, 8,234.84 and 1,980.54

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Solution

The fourth proportional to 5,490.64, 8,234.84 and 1,980.54 is: 2,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.64 : 8,234.84 = 1,980.54 : x
  2. Step 2: Convert to fraction form
    5,490.64/8,234.84 = 1,980.54/x
  3. Step 3: Cross multiply
    5,490.64x = 8,234.84 × 1,980.54
  4. Step 4: Simplify right side
    5,490.64x = 16,309,430.01
  5. Step 5: Solve for x
    x = 16,309,430.01/5,490.64
  6. Step 6: Final answer
    x = 2,970.41

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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.