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Finding the Fourth Proportional to 4,270.22, 6,406.01 and 1,805.06

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Solution

The fourth proportional to 4,270.22, 6,406.01 and 1,805.06 is: 2,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.22 : 6,406.01 = 1,805.06 : x
  2. Step 2: Convert to fraction form
    4,270.22/6,406.01 = 1,805.06/x
  3. Step 3: Cross multiply
    4,270.22x = 6,406.01 × 1,805.06
  4. Step 4: Simplify right side
    4,270.22x = 11,563,246.17
  5. Step 5: Solve for x
    x = 11,563,246.17/4,270.22
  6. Step 6: Final answer
    x = 2,707.88

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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.