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Finding the Fourth Proportional to 5,258.83, 7,887.31 and 1,748.49

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Solution

The fourth proportional to 5,258.83, 7,887.31 and 1,748.49 is: 2,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.83 : 7,887.31 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    5,258.83/7,887.31 = 1,748.49/x
  3. Step 3: Cross multiply
    5,258.83x = 7,887.31 × 1,748.49
  4. Step 4: Simplify right side
    5,258.83x = 13,790,882.66
  5. Step 5: Solve for x
    x = 13,790,882.66/5,258.83
  6. Step 6: Final answer
    x = 2,622.42

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1.5x scale

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.