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Finding the Fourth Proportional to 3,355.73, 5,032.19 and 1,274.59

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Solution

The fourth proportional to 3,355.73, 5,032.19 and 1,274.59 is: 1,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.73 : 5,032.19 = 1,274.59 : x
  2. Step 2: Convert to fraction form
    3,355.73/5,032.19 = 1,274.59/x
  3. Step 3: Cross multiply
    3,355.73x = 5,032.19 × 1,274.59
  4. Step 4: Simplify right side
    3,355.73x = 6,413,972.76
  5. Step 5: Solve for x
    x = 6,413,972.76/3,355.73
  6. Step 6: Final answer
    x = 1,911.35

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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.