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Finding the Fourth Proportional to 4,382.20, 6,570.06 and 2,071

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Solution

The fourth proportional to 4,382.20, 6,570.06 and 2,071 is: 3,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.20 : 6,570.06 = 2,071 : x
  2. Step 2: Convert to fraction form
    4,382.20/6,570.06 = 2,071/x
  3. Step 3: Cross multiply
    4,382.20x = 6,570.06 × 2,071
  4. Step 4: Simplify right side
    4,382.20x = 13,606,594.26
  5. Step 5: Solve for x
    x = 13,606,594.26/4,382.20
  6. Step 6: Final answer
    x = 3,104.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.