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Finding the Fourth Proportional to 3,854.49, 5,783.76 and 2,100.75

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Solution

The fourth proportional to 3,854.49, 5,783.76 and 2,100.75 is: 3,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.49 : 5,783.76 = 2,100.75 : x
  2. Step 2: Convert to fraction form
    3,854.49/5,783.76 = 2,100.75/x
  3. Step 3: Cross multiply
    3,854.49x = 5,783.76 × 2,100.75
  4. Step 4: Simplify right side
    3,854.49x = 12,150,233.82
  5. Step 5: Solve for x
    x = 12,150,233.82/3,854.49
  6. Step 6: Final answer
    x = 3,152.23

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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.