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Finding the Fourth Proportional to 3,292.56, 4,538.93 and 2,505.24

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Solution

The fourth proportional to 3,292.56, 4,538.93 and 2,505.24 is: 3,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.56 : 4,538.93 = 2,505.24 : x
  2. Step 2: Convert to fraction form
    3,292.56/4,538.93 = 2,505.24/x
  3. Step 3: Cross multiply
    3,292.56x = 4,538.93 × 2,505.24
  4. Step 4: Simplify right side
    3,292.56x = 11,371,096.47
  5. Step 5: Solve for x
    x = 11,371,096.47/3,292.56
  6. Step 6: Final answer
    x = 3,453.57

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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.