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Finding the Fourth Proportional to 4,716.98, 7,073.64 and 2,084.34

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Solution

The fourth proportional to 4,716.98, 7,073.64 and 2,084.34 is: 3,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.98 : 7,073.64 = 2,084.34 : x
  2. Step 2: Convert to fraction form
    4,716.98/7,073.64 = 2,084.34/x
  3. Step 3: Cross multiply
    4,716.98x = 7,073.64 × 2,084.34
  4. Step 4: Simplify right side
    4,716.98x = 14,743,870.80
  5. Step 5: Solve for x
    x = 14,743,870.80/4,716.98
  6. Step 6: Final answer
    x = 3,125.70

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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.