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Finding the Fourth Proportional to 3,384.94, 5,075.10 and 1,163.18

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Solution

The fourth proportional to 3,384.94, 5,075.10 and 1,163.18 is: 1,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.94 : 5,075.10 = 1,163.18 : x
  2. Step 2: Convert to fraction form
    3,384.94/5,075.10 = 1,163.18/x
  3. Step 3: Cross multiply
    3,384.94x = 5,075.10 × 1,163.18
  4. Step 4: Simplify right side
    3,384.94x = 5,903,254.82
  5. Step 5: Solve for x
    x = 5,903,254.82/3,384.94
  6. Step 6: Final answer
    x = 1,743.98

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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.