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Finding the Fourth Proportional to 3,415.31, 5,122.98 and 1,075.68

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Solution

The fourth proportional to 3,415.31, 5,122.98 and 1,075.68 is: 1,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.31 : 5,122.98 = 1,075.68 : x
  2. Step 2: Convert to fraction form
    3,415.31/5,122.98 = 1,075.68/x
  3. Step 3: Cross multiply
    3,415.31x = 5,122.98 × 1,075.68
  4. Step 4: Simplify right side
    3,415.31x = 5,510,687.13
  5. Step 5: Solve for x
    x = 5,510,687.13/3,415.31
  6. Step 6: Final answer
    x = 1,613.52

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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.