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Finding the Fourth Proportional to 4,326.56, 6,489.12 and 1,206.78

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Solution

The fourth proportional to 4,326.56, 6,489.12 and 1,206.78 is: 1,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.56 : 6,489.12 = 1,206.78 : x
  2. Step 2: Convert to fraction form
    4,326.56/6,489.12 = 1,206.78/x
  3. Step 3: Cross multiply
    4,326.56x = 6,489.12 × 1,206.78
  4. Step 4: Simplify right side
    4,326.56x = 7,830,907.79
  5. Step 5: Solve for x
    x = 7,830,907.79/4,326.56
  6. Step 6: Final answer
    x = 1,809.96

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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.