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Finding the Fourth Proportional to 5,266.24, 7,896.80 and 3,075.68

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Solution

The fourth proportional to 5,266.24, 7,896.80 and 3,075.68 is: 4,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.24 : 7,896.80 = 3,075.68 : x
  2. Step 2: Convert to fraction form
    5,266.24/7,896.80 = 3,075.68/x
  3. Step 3: Cross multiply
    5,266.24x = 7,896.80 × 3,075.68
  4. Step 4: Simplify right side
    5,266.24x = 24,288,029.82
  5. Step 5: Solve for x
    x = 24,288,029.82/5,266.24
  6. Step 6: Final answer
    x = 4,612.02

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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.