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Finding the Fourth Proportional to 4,193.32, 5,794.08 and 3,446.71

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Solution

The fourth proportional to 4,193.32, 5,794.08 and 3,446.71 is: 4,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.32 : 5,794.08 = 3,446.71 : x
  2. Step 2: Convert to fraction form
    4,193.32/5,794.08 = 3,446.71/x
  3. Step 3: Cross multiply
    4,193.32x = 5,794.08 × 3,446.71
  4. Step 4: Simplify right side
    4,193.32x = 19,970,513.48
  5. Step 5: Solve for x
    x = 19,970,513.48/4,193.32
  6. Step 6: Final answer
    x = 4,762.46

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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.