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Finding the Fourth Proportional to 5,212.83, 7,193.42 and 2,854.51

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Solution

The fourth proportional to 5,212.83, 7,193.42 and 2,854.51 is: 3,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.83 : 7,193.42 = 2,854.51 : x
  2. Step 2: Convert to fraction form
    5,212.83/7,193.42 = 2,854.51/x
  3. Step 3: Cross multiply
    5,212.83x = 7,193.42 × 2,854.51
  4. Step 4: Simplify right side
    5,212.83x = 20,533,675.05
  5. Step 5: Solve for x
    x = 20,533,675.05/5,212.83
  6. Step 6: Final answer
    x = 3,939.07

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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.