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Finding the Fourth Proportional to 5,361.22, 8,041.74 and 1,465.48

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Solution

The fourth proportional to 5,361.22, 8,041.74 and 1,465.48 is: 2,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.22 : 8,041.74 = 1,465.48 : x
  2. Step 2: Convert to fraction form
    5,361.22/8,041.74 = 1,465.48/x
  3. Step 3: Cross multiply
    5,361.22x = 8,041.74 × 1,465.48
  4. Step 4: Simplify right side
    5,361.22x = 11,785,009.14
  5. Step 5: Solve for x
    x = 11,785,009.14/5,361.22
  6. Step 6: Final answer
    x = 2,198.20

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Why These Related Problems?

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