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Finding the Fourth Proportional to 3,505.80, 5,258.82 and 1,197

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Solution

The fourth proportional to 3,505.80, 5,258.82 and 1,197 is: 1,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.80 : 5,258.82 = 1,197 : x
  2. Step 2: Convert to fraction form
    3,505.80/5,258.82 = 1,197/x
  3. Step 3: Cross multiply
    3,505.80x = 5,258.82 × 1,197
  4. Step 4: Simplify right side
    3,505.80x = 6,294,807.54
  5. Step 5: Solve for x
    x = 6,294,807.54/3,505.80
  6. Step 6: Final answer
    x = 1,795.54

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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.