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Finding the Fourth Proportional to 4,361.48, 6,541.26 and 1,282.76

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Solution

The fourth proportional to 4,361.48, 6,541.26 and 1,282.76 is: 1,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.48 : 6,541.26 = 1,282.76 : x
  2. Step 2: Convert to fraction form
    4,361.48/6,541.26 = 1,282.76/x
  3. Step 3: Cross multiply
    4,361.48x = 6,541.26 × 1,282.76
  4. Step 4: Simplify right side
    4,361.48x = 8,390,866.68
  5. Step 5: Solve for x
    x = 8,390,866.68/4,361.48
  6. Step 6: Final answer
    x = 1,923.86

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