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Finding the Fourth Proportional to 5,120.10, 7,672.94 and 4,075.46

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Solution

The fourth proportional to 5,120.10, 7,672.94 and 4,075.46 is: 6,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.10 : 7,672.94 = 4,075.46 : x
  2. Step 2: Convert to fraction form
    5,120.10/7,672.94 = 4,075.46/x
  3. Step 3: Cross multiply
    5,120.10x = 7,672.94 × 4,075.46
  4. Step 4: Simplify right side
    5,120.10x = 31,270,701.31
  5. Step 5: Solve for x
    x = 31,270,701.31/5,120.10
  6. Step 6: Final answer
    x = 6,107.44

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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.