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Finding the Fourth Proportional to 4,854.33, 6,689.70 and 4,181.92

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Solution

The fourth proportional to 4,854.33, 6,689.70 and 4,181.92 is: 5,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.33 : 6,689.70 = 4,181.92 : x
  2. Step 2: Convert to fraction form
    4,854.33/6,689.70 = 4,181.92/x
  3. Step 3: Cross multiply
    4,854.33x = 6,689.70 × 4,181.92
  4. Step 4: Simplify right side
    4,854.33x = 27,975,790.22
  5. Step 5: Solve for x
    x = 27,975,790.22/4,854.33
  6. Step 6: Final answer
    x = 5,763.06

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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.