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Finding the Fourth Proportional to 3,133.56, 4,696.24 and 1,282.57

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Solution

The fourth proportional to 3,133.56, 4,696.24 and 1,282.57 is: 1,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.56 : 4,696.24 = 1,282.57 : x
  2. Step 2: Convert to fraction form
    3,133.56/4,696.24 = 1,282.57/x
  3. Step 3: Cross multiply
    3,133.56x = 4,696.24 × 1,282.57
  4. Step 4: Simplify right side
    3,133.56x = 6,023,235.89
  5. Step 5: Solve for x
    x = 6,023,235.89/3,133.56
  6. Step 6: Final answer
    x = 1,922.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.