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Finding the Fourth Proportional to 5,187.75, 7,158.86 and 2,829.87

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Solution

The fourth proportional to 5,187.75, 7,158.86 and 2,829.87 is: 3,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.75 : 7,158.86 = 2,829.87 : x
  2. Step 2: Convert to fraction form
    5,187.75/7,158.86 = 2,829.87/x
  3. Step 3: Cross multiply
    5,187.75x = 7,158.86 × 2,829.87
  4. Step 4: Simplify right side
    5,187.75x = 20,258,629.00
  5. Step 5: Solve for x
    x = 20,258,629.00/5,187.75
  6. Step 6: Final answer
    x = 3,905.09

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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.