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Finding the Fourth Proportional to 5,361.07, 8,041.74 and 1,465.51

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Solution

The fourth proportional to 5,361.07, 8,041.74 and 1,465.51 is: 2,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.07 : 8,041.74 = 1,465.51 : x
  2. Step 2: Convert to fraction form
    5,361.07/8,041.74 = 1,465.51/x
  3. Step 3: Cross multiply
    5,361.07x = 8,041.74 × 1,465.51
  4. Step 4: Simplify right side
    5,361.07x = 11,785,250.39
  5. Step 5: Solve for x
    x = 11,785,250.39/5,361.07
  6. Step 6: Final answer
    x = 2,198.30

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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.