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Finding the Fourth Proportional to 5,648.14, 8,464.41 and 4,075.61

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Solution

The fourth proportional to 5,648.14, 8,464.41 and 4,075.61 is: 6,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.14 : 8,464.41 = 4,075.61 : x
  2. Step 2: Convert to fraction form
    5,648.14/8,464.41 = 4,075.61/x
  3. Step 3: Cross multiply
    5,648.14x = 8,464.41 × 4,075.61
  4. Step 4: Simplify right side
    5,648.14x = 34,497,649.32
  5. Step 5: Solve for x
    x = 34,497,649.32/5,648.14
  6. Step 6: Final answer
    x = 6,107.79

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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.