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Finding the Fourth Proportional to 3,542.90, 4,892.73 and 2,919.60

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Solution

The fourth proportional to 3,542.90, 4,892.73 and 2,919.60 is: 4,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.90 : 4,892.73 = 2,919.60 : x
  2. Step 2: Convert to fraction form
    3,542.90/4,892.73 = 2,919.60/x
  3. Step 3: Cross multiply
    3,542.90x = 4,892.73 × 2,919.60
  4. Step 4: Simplify right side
    3,542.90x = 14,284,814.51
  5. Step 5: Solve for x
    x = 14,284,814.51/3,542.90
  6. Step 6: Final answer
    x = 4,031.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.