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Finding the Fourth Proportional to 3,886.62, 5,827.77 and 1,575.42

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Solution

The fourth proportional to 3,886.62, 5,827.77 and 1,575.42 is: 2,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.62 : 5,827.77 = 1,575.42 : x
  2. Step 2: Convert to fraction form
    3,886.62/5,827.77 = 1,575.42/x
  3. Step 3: Cross multiply
    3,886.62x = 5,827.77 × 1,575.42
  4. Step 4: Simplify right side
    3,886.62x = 9,181,185.41
  5. Step 5: Solve for x
    x = 9,181,185.41/3,886.62
  6. Step 6: Final answer
    x = 2,362.25

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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.