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Finding the Fourth Proportional to 4,326.36, 6,489.78 and 1,206.37

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Solution

The fourth proportional to 4,326.36, 6,489.78 and 1,206.37 is: 1,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.36 : 6,489.78 = 1,206.37 : x
  2. Step 2: Convert to fraction form
    4,326.36/6,489.78 = 1,206.37/x
  3. Step 3: Cross multiply
    4,326.36x = 6,489.78 × 1,206.37
  4. Step 4: Simplify right side
    4,326.36x = 7,829,075.90
  5. Step 5: Solve for x
    x = 7,829,075.90/4,326.36
  6. Step 6: Final answer
    x = 1,809.62

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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.