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Finding the Fourth Proportional to 3,049.12, 4,574.40 and 857.82

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Solution

The fourth proportional to 3,049.12, 4,574.40 and 857.82 is: 1,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.12 : 4,574.40 = 857.82 : x
  2. Step 2: Convert to fraction form
    3,049.12/4,574.40 = 857.82/x
  3. Step 3: Cross multiply
    3,049.12x = 4,574.40 × 857.82
  4. Step 4: Simplify right side
    3,049.12x = 3,924,011.81
  5. Step 5: Solve for x
    x = 3,924,011.81/3,049.12
  6. Step 6: Final answer
    x = 1,286.93

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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.