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Finding the Fourth Proportional to 6,211.38, 8,584 and 5,090.54

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Solution

The fourth proportional to 6,211.38, 8,584 and 5,090.54 is: 7,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.38 : 8,584 = 5,090.54 : x
  2. Step 2: Convert to fraction form
    6,211.38/8,584 = 5,090.54/x
  3. Step 3: Cross multiply
    6,211.38x = 8,584 × 5,090.54
  4. Step 4: Simplify right side
    6,211.38x = 43,697,195.36
  5. Step 5: Solve for x
    x = 43,697,195.36/6,211.38
  6. Step 6: Final answer
    x = 7,035.02

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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.