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Finding the Fourth Proportional to 5,182.63, 7,775.59 and 1,850.81

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Solution

The fourth proportional to 5,182.63, 7,775.59 and 1,850.81 is: 2,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.63 : 7,775.59 = 1,850.81 : x
  2. Step 2: Convert to fraction form
    5,182.63/7,775.59 = 1,850.81/x
  3. Step 3: Cross multiply
    5,182.63x = 7,775.59 × 1,850.81
  4. Step 4: Simplify right side
    5,182.63x = 14,391,103.16
  5. Step 5: Solve for x
    x = 14,391,103.16/5,182.63
  6. Step 6: Final answer
    x = 2,776.79

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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.