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Finding the Fourth Proportional to 5,153.83, 7,711.61 and 3,074.96

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Solution

The fourth proportional to 5,153.83, 7,711.61 and 3,074.96 is: 4,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.83 : 7,711.61 = 3,074.96 : x
  2. Step 2: Convert to fraction form
    5,153.83/7,711.61 = 3,074.96/x
  3. Step 3: Cross multiply
    5,153.83x = 7,711.61 × 3,074.96
  4. Step 4: Simplify right side
    5,153.83x = 23,712,896.19
  5. Step 5: Solve for x
    x = 23,712,896.19/5,153.83
  6. Step 6: Final answer
    x = 4,601.03

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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.