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Finding the Fourth Proportional to 5,212.78, 7,193.64 and 2,854.93

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Solution

The fourth proportional to 5,212.78, 7,193.64 and 2,854.93 is: 3,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.78 : 7,193.64 = 2,854.93 : x
  2. Step 2: Convert to fraction form
    5,212.78/7,193.64 = 2,854.93/x
  3. Step 3: Cross multiply
    5,212.78x = 7,193.64 × 2,854.93
  4. Step 4: Simplify right side
    5,212.78x = 20,537,338.65
  5. Step 5: Solve for x
    x = 20,537,338.65/5,212.78
  6. Step 6: Final answer
    x = 3,939.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.