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Finding the Fourth Proportional to 4,556.33, 6,829 and 1,922.81

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Solution

The fourth proportional to 4,556.33, 6,829 and 1,922.81 is: 2,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.33 : 6,829 = 1,922.81 : x
  2. Step 2: Convert to fraction form
    4,556.33/6,829 = 1,922.81/x
  3. Step 3: Cross multiply
    4,556.33x = 6,829 × 1,922.81
  4. Step 4: Simplify right side
    4,556.33x = 13,130,869.49
  5. Step 5: Solve for x
    x = 13,130,869.49/4,556.33
  6. Step 6: Final answer
    x = 2,881.90

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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.