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Finding the Fourth Proportional to 4,472.05, 6,171.61 and 2,978.97

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Solution

The fourth proportional to 4,472.05, 6,171.61 and 2,978.97 is: 4,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.05 : 6,171.61 = 2,978.97 : x
  2. Step 2: Convert to fraction form
    4,472.05/6,171.61 = 2,978.97/x
  3. Step 3: Cross multiply
    4,472.05x = 6,171.61 × 2,978.97
  4. Step 4: Simplify right side
    4,472.05x = 18,385,041.04
  5. Step 5: Solve for x
    x = 18,385,041.04/4,472.05
  6. Step 6: Final answer
    x = 4,111.10

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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.