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Finding the Fourth Proportional to 5,494.63, 8,242.22 and 1,796.91

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Solution

The fourth proportional to 5,494.63, 8,242.22 and 1,796.91 is: 2,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.63 : 8,242.22 = 1,796.91 : x
  2. Step 2: Convert to fraction form
    5,494.63/8,242.22 = 1,796.91/x
  3. Step 3: Cross multiply
    5,494.63x = 8,242.22 × 1,796.91
  4. Step 4: Simplify right side
    5,494.63x = 14,810,527.54
  5. Step 5: Solve for x
    x = 14,810,527.54/5,494.63
  6. Step 6: Final answer
    x = 2,695.45

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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.