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Finding the Fourth Proportional to 4,206.54, 6,331.74 and 3,572.31

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Solution

The fourth proportional to 4,206.54, 6,331.74 and 3,572.31 is: 5,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.54 : 6,331.74 = 3,572.31 : x
  2. Step 2: Convert to fraction form
    4,206.54/6,331.74 = 3,572.31/x
  3. Step 3: Cross multiply
    4,206.54x = 6,331.74 × 3,572.31
  4. Step 4: Simplify right side
    4,206.54x = 22,618,938.12
  5. Step 5: Solve for x
    x = 22,618,938.12/4,206.54
  6. Step 6: Final answer
    x = 5,377.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.