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Finding the Fourth Proportional to 3,505.88, 5,258.69 and 1,425.27

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Solution

The fourth proportional to 3,505.88, 5,258.69 and 1,425.27 is: 2,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.88 : 5,258.69 = 1,425.27 : x
  2. Step 2: Convert to fraction form
    3,505.88/5,258.69 = 1,425.27/x
  3. Step 3: Cross multiply
    3,505.88x = 5,258.69 × 1,425.27
  4. Step 4: Simplify right side
    3,505.88x = 7,495,045.97
  5. Step 5: Solve for x
    x = 7,495,045.97/3,505.88
  6. Step 6: Final answer
    x = 2,137.85

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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.