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Finding the Fourth Proportional to 3,502.54, 4,835.75 and 2,178.04

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Solution

The fourth proportional to 3,502.54, 4,835.75 and 2,178.04 is: 3,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.54 : 4,835.75 = 2,178.04 : x
  2. Step 2: Convert to fraction form
    3,502.54/4,835.75 = 2,178.04/x
  3. Step 3: Cross multiply
    3,502.54x = 4,835.75 × 2,178.04
  4. Step 4: Simplify right side
    3,502.54x = 10,532,456.93
  5. Step 5: Solve for x
    x = 10,532,456.93/3,502.54
  6. Step 6: Final answer
    x = 3,007.09

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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.