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Finding the Fourth Proportional to 5,382.41, 8,075.16 and 1,685.70

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Solution

The fourth proportional to 5,382.41, 8,075.16 and 1,685.70 is: 2,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.41 : 8,075.16 = 1,685.70 : x
  2. Step 2: Convert to fraction form
    5,382.41/8,075.16 = 1,685.70/x
  3. Step 3: Cross multiply
    5,382.41x = 8,075.16 × 1,685.70
  4. Step 4: Simplify right side
    5,382.41x = 13,612,278.74
  5. Step 5: Solve for x
    x = 13,612,278.74/5,382.41
  6. Step 6: Final answer
    x = 2,529.03

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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.