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Finding the Fourth Proportional to 3,881.32, 5,814.66 and 3,005.32

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Solution

The fourth proportional to 3,881.32, 5,814.66 and 3,005.32 is: 4,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.32 : 5,814.66 = 3,005.32 : x
  2. Step 2: Convert to fraction form
    3,881.32/5,814.66 = 3,005.32/x
  3. Step 3: Cross multiply
    3,881.32x = 5,814.66 × 3,005.32
  4. Step 4: Simplify right side
    3,881.32x = 17,474,913.99
  5. Step 5: Solve for x
    x = 17,474,913.99/3,881.32
  6. Step 6: Final answer
    x = 4,502.31

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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.