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Finding the Fourth Proportional to 3,854.89, 5,783.35 and 1,880.31

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Solution

The fourth proportional to 3,854.89, 5,783.35 and 1,880.31 is: 2,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.89 : 5,783.35 = 1,880.31 : x
  2. Step 2: Convert to fraction form
    3,854.89/5,783.35 = 1,880.31/x
  3. Step 3: Cross multiply
    3,854.89x = 5,783.35 × 1,880.31
  4. Step 4: Simplify right side
    3,854.89x = 10,874,511.35
  5. Step 5: Solve for x
    x = 10,874,511.35/3,854.89
  6. Step 6: Final answer
    x = 2,820.96

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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.