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Finding the Fourth Proportional to 3,853.78, 5,772.84 and 3,075.10

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Solution

The fourth proportional to 3,853.78, 5,772.84 and 3,075.10 is: 4,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.78 : 5,772.84 = 3,075.10 : x
  2. Step 2: Convert to fraction form
    3,853.78/5,772.84 = 3,075.10/x
  3. Step 3: Cross multiply
    3,853.78x = 5,772.84 × 3,075.10
  4. Step 4: Simplify right side
    3,853.78x = 17,752,034.32
  5. Step 5: Solve for x
    x = 17,752,034.32/3,853.78
  6. Step 6: Final answer
    x = 4,606.40

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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.