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Finding the Fourth Proportional to 3,855.66, 5,777.34 and 2,291.96

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Solution

The fourth proportional to 3,855.66, 5,777.34 and 2,291.96 is: 3,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.66 : 5,777.34 = 2,291.96 : x
  2. Step 2: Convert to fraction form
    3,855.66/5,777.34 = 2,291.96/x
  3. Step 3: Cross multiply
    3,855.66x = 5,777.34 × 2,291.96
  4. Step 4: Simplify right side
    3,855.66x = 13,241,432.19
  5. Step 5: Solve for x
    x = 13,241,432.19/3,855.66
  6. Step 6: Final answer
    x = 3,434.28

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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.