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Finding the Fourth Proportional to 5,361.93, 8,042.65 and 1,466.33

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Solution

The fourth proportional to 5,361.93, 8,042.65 and 1,466.33 is: 2,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.93 : 8,042.65 = 1,466.33 : x
  2. Step 2: Convert to fraction form
    5,361.93/8,042.65 = 1,466.33/x
  3. Step 3: Cross multiply
    5,361.93x = 8,042.65 × 1,466.33
  4. Step 4: Simplify right side
    5,361.93x = 11,793,135.10
  5. Step 5: Solve for x
    x = 11,793,135.10/5,361.93
  6. Step 6: Final answer
    x = 2,199.42

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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.