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Finding the Fourth Proportional to 4,539.68, 6,809.52 and 3,075.20

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Solution

The fourth proportional to 4,539.68, 6,809.52 and 3,075.20 is: 4,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.68 : 6,809.52 = 3,075.20 : x
  2. Step 2: Convert to fraction form
    4,539.68/6,809.52 = 3,075.20/x
  3. Step 3: Cross multiply
    4,539.68x = 6,809.52 × 3,075.20
  4. Step 4: Simplify right side
    4,539.68x = 20,940,635.90
  5. Step 5: Solve for x
    x = 20,940,635.90/4,539.68
  6. Step 6: Final answer
    x = 4,612.80

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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.