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Finding the Fourth Proportional to 4,134.65, 5,706.25 and 2,366.82

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Solution

The fourth proportional to 4,134.65, 5,706.25 and 2,366.82 is: 3,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.65 : 5,706.25 = 2,366.82 : x
  2. Step 2: Convert to fraction form
    4,134.65/5,706.25 = 2,366.82/x
  3. Step 3: Cross multiply
    4,134.65x = 5,706.25 × 2,366.82
  4. Step 4: Simplify right side
    4,134.65x = 13,505,660.71
  5. Step 5: Solve for x
    x = 13,505,660.71/4,134.65
  6. Step 6: Final answer
    x = 3,266.46

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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.