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Finding the Fourth Proportional to 5,258.97, 7,887.07 and 1,560.21

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Solution

The fourth proportional to 5,258.97, 7,887.07 and 1,560.21 is: 2,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.97 : 7,887.07 = 1,560.21 : x
  2. Step 2: Convert to fraction form
    5,258.97/7,887.07 = 1,560.21/x
  3. Step 3: Cross multiply
    5,258.97x = 7,887.07 × 1,560.21
  4. Step 4: Simplify right side
    5,258.97x = 12,305,485.48
  5. Step 5: Solve for x
    x = 12,305,485.48/5,258.97
  6. Step 6: Final answer
    x = 2,339.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.