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Finding the Fourth Proportional to 5,075.20, 7,612.80 and 4,880.80

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Solution

The fourth proportional to 5,075.20, 7,612.80 and 4,880.80 is: 7,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.20 : 7,612.80 = 4,880.80 : x
  2. Step 2: Convert to fraction form
    5,075.20/7,612.80 = 4,880.80/x
  3. Step 3: Cross multiply
    5,075.20x = 7,612.80 × 4,880.80
  4. Step 4: Simplify right side
    5,075.20x = 37,156,554.24
  5. Step 5: Solve for x
    x = 37,156,554.24/5,075.20
  6. Step 6: Final answer
    x = 7,321.20

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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.