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Finding the Fourth Proportional to 4,716.71, 7,075.92 and 2,084.21

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Solution

The fourth proportional to 4,716.71, 7,075.92 and 2,084.21 is: 3,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.71 : 7,075.92 = 2,084.21 : x
  2. Step 2: Convert to fraction form
    4,716.71/7,075.92 = 2,084.21/x
  3. Step 3: Cross multiply
    4,716.71x = 7,075.92 × 2,084.21
  4. Step 4: Simplify right side
    4,716.71x = 14,747,703.22
  5. Step 5: Solve for x
    x = 14,747,703.22/4,716.71
  6. Step 6: Final answer
    x = 3,126.69

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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.