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Finding the Fourth Proportional to 5,238.57, 7,857.66 and 1,775.82

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Solution

The fourth proportional to 5,238.57, 7,857.66 and 1,775.82 is: 2,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.57 : 7,857.66 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    5,238.57/7,857.66 = 1,775.82/x
  3. Step 3: Cross multiply
    5,238.57x = 7,857.66 × 1,775.82
  4. Step 4: Simplify right side
    5,238.57x = 13,953,789.78
  5. Step 5: Solve for x
    x = 13,953,789.78/5,238.57
  6. Step 6: Final answer
    x = 2,663.66

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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.