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Finding the Fourth Proportional to 3,502.71, 4,836.11 and 2,178.45

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Solution

The fourth proportional to 3,502.71, 4,836.11 and 2,178.45 is: 3,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.71 : 4,836.11 = 2,178.45 : x
  2. Step 2: Convert to fraction form
    3,502.71/4,836.11 = 2,178.45/x
  3. Step 3: Cross multiply
    3,502.71x = 4,836.11 × 2,178.45
  4. Step 4: Simplify right side
    3,502.71x = 10,535,212.94
  5. Step 5: Solve for x
    x = 10,535,212.94/3,502.71
  6. Step 6: Final answer
    x = 3,007.73

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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.