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Finding the Fourth Proportional to 5,182.42, 7,773.87 and 1,485.19

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Solution

The fourth proportional to 5,182.42, 7,773.87 and 1,485.19 is: 2,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.42 : 7,773.87 = 1,485.19 : x
  2. Step 2: Convert to fraction form
    5,182.42/7,773.87 = 1,485.19/x
  3. Step 3: Cross multiply
    5,182.42x = 7,773.87 × 1,485.19
  4. Step 4: Simplify right side
    5,182.42x = 11,545,673.99
  5. Step 5: Solve for x
    x = 11,545,673.99/5,182.42
  6. Step 6: Final answer
    x = 2,227.85

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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.