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Finding the Fourth Proportional to 4,374.06, 6,561.33 and 2,182.06

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Solution

The fourth proportional to 4,374.06, 6,561.33 and 2,182.06 is: 3,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.06 : 6,561.33 = 2,182.06 : x
  2. Step 2: Convert to fraction form
    4,374.06/6,561.33 = 2,182.06/x
  3. Step 3: Cross multiply
    4,374.06x = 6,561.33 × 2,182.06
  4. Step 4: Simplify right side
    4,374.06x = 14,317,215.74
  5. Step 5: Solve for x
    x = 14,317,215.74/4,374.06
  6. Step 6: Final answer
    x = 3,273.21

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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.