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Finding the Fourth Proportional to 4,134.52, 5,706.69 and 2,366.68

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Solution

The fourth proportional to 4,134.52, 5,706.69 and 2,366.68 is: 3,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.52 : 5,706.69 = 2,366.68 : x
  2. Step 2: Convert to fraction form
    4,134.52/5,706.69 = 2,366.68/x
  3. Step 3: Cross multiply
    4,134.52x = 5,706.69 × 2,366.68
  4. Step 4: Simplify right side
    4,134.52x = 13,505,909.09
  5. Step 5: Solve for x
    x = 13,505,909.09/4,134.52
  6. Step 6: Final answer
    x = 3,266.62

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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.