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Finding the Fourth Proportional to 3,567.87, 4,922.28 and 2,075.54

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Solution

The fourth proportional to 3,567.87, 4,922.28 and 2,075.54 is: 2,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.87 : 4,922.28 = 2,075.54 : x
  2. Step 2: Convert to fraction form
    3,567.87/4,922.28 = 2,075.54/x
  3. Step 3: Cross multiply
    3,567.87x = 4,922.28 × 2,075.54
  4. Step 4: Simplify right side
    3,567.87x = 10,216,364.42
  5. Step 5: Solve for x
    x = 10,216,364.42/3,567.87
  6. Step 6: Final answer
    x = 2,863.44

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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.