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Finding the Fourth Proportional to 3,354.40, 5,032.47 and 1,274.44

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Solution

The fourth proportional to 3,354.40, 5,032.47 and 1,274.44 is: 1,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.40 : 5,032.47 = 1,274.44 : x
  2. Step 2: Convert to fraction form
    3,354.40/5,032.47 = 1,274.44/x
  3. Step 3: Cross multiply
    3,354.40x = 5,032.47 × 1,274.44
  4. Step 4: Simplify right side
    3,354.40x = 6,413,581.07
  5. Step 5: Solve for x
    x = 6,413,581.07/3,354.40
  6. Step 6: Final answer
    x = 1,911.99

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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.