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Finding the Fourth Proportional to 5,201.53, 7,804.26 and 3,122.99

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Solution

The fourth proportional to 5,201.53, 7,804.26 and 3,122.99 is: 4,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.53 : 7,804.26 = 3,122.99 : x
  2. Step 2: Convert to fraction form
    5,201.53/7,804.26 = 3,122.99/x
  3. Step 3: Cross multiply
    5,201.53x = 7,804.26 × 3,122.99
  4. Step 4: Simplify right side
    5,201.53x = 24,372,598.63
  5. Step 5: Solve for x
    x = 24,372,598.63/5,201.53
  6. Step 6: Final answer
    x = 4,685.66

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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.