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Finding the Fourth Proportional to 5,084.68, 7,625.29 and 1,706.78

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Solution

The fourth proportional to 5,084.68, 7,625.29 and 1,706.78 is: 2,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.68 : 7,625.29 = 1,706.78 : x
  2. Step 2: Convert to fraction form
    5,084.68/7,625.29 = 1,706.78/x
  3. Step 3: Cross multiply
    5,084.68x = 7,625.29 × 1,706.78
  4. Step 4: Simplify right side
    5,084.68x = 13,014,692.47
  5. Step 5: Solve for x
    x = 13,014,692.47/5,084.68
  6. Step 6: Final answer
    x = 2,559.59

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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.