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Finding the Fourth Proportional to 3,758.54, 5,182.60 and 3,075.06

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Solution

The fourth proportional to 3,758.54, 5,182.60 and 3,075.06 is: 4,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.54 : 5,182.60 = 3,075.06 : x
  2. Step 2: Convert to fraction form
    3,758.54/5,182.60 = 3,075.06/x
  3. Step 3: Cross multiply
    3,758.54x = 5,182.60 × 3,075.06
  4. Step 4: Simplify right side
    3,758.54x = 15,936,805.96
  5. Step 5: Solve for x
    x = 15,936,805.96/3,758.54
  6. Step 6: Final answer
    x = 4,240.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.