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Finding the Fourth Proportional to 3,075.75, 4,615.47 and 1,128.15

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Solution

The fourth proportional to 3,075.75, 4,615.47 and 1,128.15 is: 1,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.75 : 4,615.47 = 1,128.15 : x
  2. Step 2: Convert to fraction form
    3,075.75/4,615.47 = 1,128.15/x
  3. Step 3: Cross multiply
    3,075.75x = 4,615.47 × 1,128.15
  4. Step 4: Simplify right side
    3,075.75x = 5,206,942.48
  5. Step 5: Solve for x
    x = 5,206,942.48/3,075.75
  6. Step 6: Final answer
    x = 1,692.90

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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.