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Finding the Fourth Proportional to 3,209.52, 4,812.66 and 1,563.60

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Solution

The fourth proportional to 3,209.52, 4,812.66 and 1,563.60 is: 2,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.52 : 4,812.66 = 1,563.60 : x
  2. Step 2: Convert to fraction form
    3,209.52/4,812.66 = 1,563.60/x
  3. Step 3: Cross multiply
    3,209.52x = 4,812.66 × 1,563.60
  4. Step 4: Simplify right side
    3,209.52x = 7,525,075.18
  5. Step 5: Solve for x
    x = 7,525,075.18/3,209.52
  6. Step 6: Final answer
    x = 2,344.61

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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.