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Finding the Fourth Proportional to 5,049.51, 6,969.02 and 3,191.91

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Solution

The fourth proportional to 5,049.51, 6,969.02 and 3,191.91 is: 4,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.51 : 6,969.02 = 3,191.91 : x
  2. Step 2: Convert to fraction form
    5,049.51/6,969.02 = 3,191.91/x
  3. Step 3: Cross multiply
    5,049.51x = 6,969.02 × 3,191.91
  4. Step 4: Simplify right side
    5,049.51x = 22,244,468.67
  5. Step 5: Solve for x
    x = 22,244,468.67/5,049.51
  6. Step 6: Final answer
    x = 4,405.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.