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Finding the Fourth Proportional to 3,878.55, 5,814.92 and 1,536.64

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Solution

The fourth proportional to 3,878.55, 5,814.92 and 1,536.64 is: 2,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.55 : 5,814.92 = 1,536.64 : x
  2. Step 2: Convert to fraction form
    3,878.55/5,814.92 = 1,536.64/x
  3. Step 3: Cross multiply
    3,878.55x = 5,814.92 × 1,536.64
  4. Step 4: Simplify right side
    3,878.55x = 8,935,427.97
  5. Step 5: Solve for x
    x = 8,935,427.97/3,878.55
  6. Step 6: Final answer
    x = 2,303.81

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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.