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Finding the Fourth Proportional to 5,382.04, 8,074.50 and 3,075.16

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Solution

The fourth proportional to 5,382.04, 8,074.50 and 3,075.16 is: 4,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.04 : 8,074.50 = 3,075.16 : x
  2. Step 2: Convert to fraction form
    5,382.04/8,074.50 = 3,075.16/x
  3. Step 3: Cross multiply
    5,382.04x = 8,074.50 × 3,075.16
  4. Step 4: Simplify right side
    5,382.04x = 24,830,379.42
  5. Step 5: Solve for x
    x = 24,830,379.42/5,382.04
  6. Step 6: Final answer
    x = 4,613.56

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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.