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Finding the Fourth Proportional to 3,875.40, 5,358.42 and 3,383.33

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Solution

The fourth proportional to 3,875.40, 5,358.42 and 3,383.33 is: 4,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.40 : 5,358.42 = 3,383.33 : x
  2. Step 2: Convert to fraction form
    3,875.40/5,358.42 = 3,383.33/x
  3. Step 3: Cross multiply
    3,875.40x = 5,358.42 × 3,383.33
  4. Step 4: Simplify right side
    3,875.40x = 18,129,276.35
  5. Step 5: Solve for x
    x = 18,129,276.35/3,875.40
  6. Step 6: Final answer
    x = 4,678.04

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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.