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Finding the Fourth Proportional to 4,326.06, 6,489.24 and 1,206.12

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Solution

The fourth proportional to 4,326.06, 6,489.24 and 1,206.12 is: 1,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.06 : 6,489.24 = 1,206.12 : x
  2. Step 2: Convert to fraction form
    4,326.06/6,489.24 = 1,206.12/x
  3. Step 3: Cross multiply
    4,326.06x = 6,489.24 × 1,206.12
  4. Step 4: Simplify right side
    4,326.06x = 7,826,802.15
  5. Step 5: Solve for x
    x = 7,826,802.15/4,326.06
  6. Step 6: Final answer
    x = 1,809.22

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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.