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Finding the Fourth Proportional to 5,191.56, 7,197.28 and 4,911.01

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Solution

The fourth proportional to 5,191.56, 7,197.28 and 4,911.01 is: 6,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.56 : 7,197.28 = 4,911.01 : x
  2. Step 2: Convert to fraction form
    5,191.56/7,197.28 = 4,911.01/x
  3. Step 3: Cross multiply
    5,191.56x = 7,197.28 × 4,911.01
  4. Step 4: Simplify right side
    5,191.56x = 35,345,922.90
  5. Step 5: Solve for x
    x = 35,345,922.90/5,191.56
  6. Step 6: Final answer
    x = 6,808.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.