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Finding the Fourth Proportional to 3,505.79, 5,258.68 and 1,197.29

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Solution

The fourth proportional to 3,505.79, 5,258.68 and 1,197.29 is: 1,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.79 : 5,258.68 = 1,197.29 : x
  2. Step 2: Convert to fraction form
    3,505.79/5,258.68 = 1,197.29/x
  3. Step 3: Cross multiply
    3,505.79x = 5,258.68 × 1,197.29
  4. Step 4: Simplify right side
    3,505.79x = 6,296,175.13
  5. Step 5: Solve for x
    x = 6,296,175.13/3,505.79
  6. Step 6: Final answer
    x = 1,795.93

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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.