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Finding the Fourth Proportional to 4,005, 5,526.62 and 2,411.33

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Solution

The fourth proportional to 4,005, 5,526.62 and 2,411.33 is: 3,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 5,526.62 = 2,411.33 : x
  2. Step 2: Convert to fraction form
    4,005/5,526.62 = 2,411.33/x
  3. Step 3: Cross multiply
    4,005x = 5,526.62 × 2,411.33
  4. Step 4: Simplify right side
    4,005x = 13,326,464.91
  5. Step 5: Solve for x
    x = 13,326,464.91/4,005
  6. Step 6: Final answer
    x = 3,327.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.