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Finding the Fourth Proportional to 4,556.67, 6,834.80 and 2,089.82

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Solution

The fourth proportional to 4,556.67, 6,834.80 and 2,089.82 is: 3,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.67 : 6,834.80 = 2,089.82 : x
  2. Step 2: Convert to fraction form
    4,556.67/6,834.80 = 2,089.82/x
  3. Step 3: Cross multiply
    4,556.67x = 6,834.80 × 2,089.82
  4. Step 4: Simplify right side
    4,556.67x = 14,283,457.11
  5. Step 5: Solve for x
    x = 14,283,457.11/4,556.67
  6. Step 6: Final answer
    x = 3,134.63

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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.