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Finding the Fourth Proportional to 5,182.82, 7,774.19 and 1,485.05

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Solution

The fourth proportional to 5,182.82, 7,774.19 and 1,485.05 is: 2,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.82 : 7,774.19 = 1,485.05 : x
  2. Step 2: Convert to fraction form
    5,182.82/7,774.19 = 1,485.05/x
  3. Step 3: Cross multiply
    5,182.82x = 7,774.19 × 1,485.05
  4. Step 4: Simplify right side
    5,182.82x = 11,545,060.86
  5. Step 5: Solve for x
    x = 11,545,060.86/5,182.82
  6. Step 6: Final answer
    x = 2,227.57

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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.