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Finding the Fourth Proportional to 4,134.56, 5,706 and 2,366.72

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Solution

The fourth proportional to 4,134.56, 5,706 and 2,366.72 is: 3,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.56 : 5,706 = 2,366.72 : x
  2. Step 2: Convert to fraction form
    4,134.56/5,706 = 2,366.72/x
  3. Step 3: Cross multiply
    4,134.56x = 5,706 × 2,366.72
  4. Step 4: Simplify right side
    4,134.56x = 13,504,504.32
  5. Step 5: Solve for x
    x = 13,504,504.32/4,134.56
  6. Step 6: Final answer
    x = 3,266.25

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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.