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Finding the Fourth Proportional to 5,152.09, 7,755.99 and 4,692.82

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Solution

The fourth proportional to 5,152.09, 7,755.99 and 4,692.82 is: 7,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.09 : 7,755.99 = 4,692.82 : x
  2. Step 2: Convert to fraction form
    5,152.09/7,755.99 = 4,692.82/x
  3. Step 3: Cross multiply
    5,152.09x = 7,755.99 × 4,692.82
  4. Step 4: Simplify right side
    5,152.09x = 36,397,441.53
  5. Step 5: Solve for x
    x = 36,397,441.53/5,152.09
  6. Step 6: Final answer
    x = 7,064.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.