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Finding the Fourth Proportional to 3,454.96, 5,182.38 and 857.89

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Solution

The fourth proportional to 3,454.96, 5,182.38 and 857.89 is: 1,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.96 : 5,182.38 = 857.89 : x
  2. Step 2: Convert to fraction form
    3,454.96/5,182.38 = 857.89/x
  3. Step 3: Cross multiply
    3,454.96x = 5,182.38 × 857.89
  4. Step 4: Simplify right side
    3,454.96x = 4,445,911.98
  5. Step 5: Solve for x
    x = 4,445,911.98/3,454.96
  6. Step 6: Final answer
    x = 1,286.82

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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.