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Finding the Fourth Proportional to 5,382.48, 8,075.34 and 1,920

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Solution

The fourth proportional to 5,382.48, 8,075.34 and 1,920 is: 2,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.48 : 8,075.34 = 1,920 : x
  2. Step 2: Convert to fraction form
    5,382.48/8,075.34 = 1,920/x
  3. Step 3: Cross multiply
    5,382.48x = 8,075.34 × 1,920
  4. Step 4: Simplify right side
    5,382.48x = 15,504,652.80
  5. Step 5: Solve for x
    x = 15,504,652.80/5,382.48
  6. Step 6: Final answer
    x = 2,880.58

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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.