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Finding the Fourth Proportional to 5,843.04, 8,065.20 and 4,075.24

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Solution

The fourth proportional to 5,843.04, 8,065.20 and 4,075.24 is: 5,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.04 : 8,065.20 = 4,075.24 : x
  2. Step 2: Convert to fraction form
    5,843.04/8,065.20 = 4,075.24/x
  3. Step 3: Cross multiply
    5,843.04x = 8,065.20 × 4,075.24
  4. Step 4: Simplify right side
    5,843.04x = 32,867,625.65
  5. Step 5: Solve for x
    x = 32,867,625.65/5,843.04
  6. Step 6: Final answer
    x = 5,625.09

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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.