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Finding the Fourth Proportional to 5,262.40, 7,890.96 and 3,075.44

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Solution

The fourth proportional to 5,262.40, 7,890.96 and 3,075.44 is: 4,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.40 : 7,890.96 = 3,075.44 : x
  2. Step 2: Convert to fraction form
    5,262.40/7,890.96 = 3,075.44/x
  3. Step 3: Cross multiply
    5,262.40x = 7,890.96 × 3,075.44
  4. Step 4: Simplify right side
    5,262.40x = 24,268,174.02
  5. Step 5: Solve for x
    x = 24,268,174.02/5,262.40
  6. Step 6: Final answer
    x = 4,611.62

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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.