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Finding the Fourth Proportional to 4,326.71, 5,966.93 and 2,834.08

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Solution

The fourth proportional to 4,326.71, 5,966.93 and 2,834.08 is: 3,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.71 : 5,966.93 = 2,834.08 : x
  2. Step 2: Convert to fraction form
    4,326.71/5,966.93 = 2,834.08/x
  3. Step 3: Cross multiply
    4,326.71x = 5,966.93 × 2,834.08
  4. Step 4: Simplify right side
    4,326.71x = 16,910,749.14
  5. Step 5: Solve for x
    x = 16,910,749.14/4,326.71
  6. Step 6: Final answer
    x = 3,908.46

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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.