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Finding the Fourth Proportional to 4,556.13, 6,833.94 and 1,922.51

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Solution

The fourth proportional to 4,556.13, 6,833.94 and 1,922.51 is: 2,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.13 : 6,833.94 = 1,922.51 : x
  2. Step 2: Convert to fraction form
    4,556.13/6,833.94 = 1,922.51/x
  3. Step 3: Cross multiply
    4,556.13x = 6,833.94 × 1,922.51
  4. Step 4: Simplify right side
    4,556.13x = 13,138,327.86
  5. Step 5: Solve for x
    x = 13,138,327.86/4,556.13
  6. Step 6: Final answer
    x = 2,883.66

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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.