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Finding the Fourth Proportional to 3,542.64, 4,892.39 and 2,919.35

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Solution

The fourth proportional to 3,542.64, 4,892.39 and 2,919.35 is: 4,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 4,892.39 = 2,919.35 : x
  2. Step 2: Convert to fraction form
    3,542.64/4,892.39 = 2,919.35/x
  3. Step 3: Cross multiply
    3,542.64x = 4,892.39 × 2,919.35
  4. Step 4: Simplify right side
    3,542.64x = 14,282,598.75
  5. Step 5: Solve for x
    x = 14,282,598.75/3,542.64
  6. Step 6: Final answer
    x = 4,031.63

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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.