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Finding the Fourth Proportional to 3,566.97, 4,922.64 and 2,075.36

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Solution

The fourth proportional to 3,566.97, 4,922.64 and 2,075.36 is: 2,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.97 : 4,922.64 = 2,075.36 : x
  2. Step 2: Convert to fraction form
    3,566.97/4,922.64 = 2,075.36/x
  3. Step 3: Cross multiply
    3,566.97x = 4,922.64 × 2,075.36
  4. Step 4: Simplify right side
    3,566.97x = 10,216,225.54
  5. Step 5: Solve for x
    x = 10,216,225.54/3,566.97
  6. Step 6: Final answer
    x = 2,864.12

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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.