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Finding the Fourth Proportional to 3,447.16, 5,167.64 and 1,254.35

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Solution

The fourth proportional to 3,447.16, 5,167.64 and 1,254.35 is: 1,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.16 : 5,167.64 = 1,254.35 : x
  2. Step 2: Convert to fraction form
    3,447.16/5,167.64 = 1,254.35/x
  3. Step 3: Cross multiply
    3,447.16x = 5,167.64 × 1,254.35
  4. Step 4: Simplify right side
    3,447.16x = 6,481,997.12
  5. Step 5: Solve for x
    x = 6,481,997.12/3,447.16
  6. Step 6: Final answer
    x = 1,880.39

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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.