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Finding the Fourth Proportional to 6,258.57, 9,388.89 and 2,969.87

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Solution

The fourth proportional to 6,258.57, 9,388.89 and 2,969.87 is: 4,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.57 : 9,388.89 = 2,969.87 : x
  2. Step 2: Convert to fraction form
    6,258.57/9,388.89 = 2,969.87/x
  3. Step 3: Cross multiply
    6,258.57x = 9,388.89 × 2,969.87
  4. Step 4: Simplify right side
    6,258.57x = 27,883,720.95
  5. Step 5: Solve for x
    x = 27,883,720.95/6,258.57
  6. Step 6: Final answer
    x = 4,455.29

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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.