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Finding the Fourth Proportional to 5,256.69, 7,884.94 and 1,361.00

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Solution

The fourth proportional to 5,256.69, 7,884.94 and 1,361.00 is: 2,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.69 : 7,884.94 = 1,361.00 : x
  2. Step 2: Convert to fraction form
    5,256.69/7,884.94 = 1,361.00/x
  3. Step 3: Cross multiply
    5,256.69x = 7,884.94 × 1,361.00
  4. Step 4: Simplify right side
    5,256.69x = 10,731,357.11
  5. Step 5: Solve for x
    x = 10,731,357.11/5,256.69
  6. Step 6: Final answer
    x = 2,041.47

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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.