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Finding the Fourth Proportional to 5,712.81, 7,880.39 and 3,354.49

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Solution

The fourth proportional to 5,712.81, 7,880.39 and 3,354.49 is: 4,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.81 : 7,880.39 = 3,354.49 : x
  2. Step 2: Convert to fraction form
    5,712.81/7,880.39 = 3,354.49/x
  3. Step 3: Cross multiply
    5,712.81x = 7,880.39 × 3,354.49
  4. Step 4: Simplify right side
    5,712.81x = 26,434,672.68
  5. Step 5: Solve for x
    x = 26,434,672.68/5,712.81
  6. Step 6: Final answer
    x = 4,627.27

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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.