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Finding the Fourth Proportional to 3,470.05, 4,785.96 and 3,072.14

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Solution

The fourth proportional to 3,470.05, 4,785.96 and 3,072.14 is: 4,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.05 : 4,785.96 = 3,072.14 : x
  2. Step 2: Convert to fraction form
    3,470.05/4,785.96 = 3,072.14/x
  3. Step 3: Cross multiply
    3,470.05x = 4,785.96 × 3,072.14
  4. Step 4: Simplify right side
    3,470.05x = 14,703,144.69
  5. Step 5: Solve for x
    x = 14,703,144.69/3,470.05
  6. Step 6: Final answer
    x = 4,237.15

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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.