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Finding the Fourth Proportional to 3,964.84, 5,917.75 and 3,435.38

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Solution

The fourth proportional to 3,964.84, 5,917.75 and 3,435.38 is: 5,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.84 : 5,917.75 = 3,435.38 : x
  2. Step 2: Convert to fraction form
    3,964.84/5,917.75 = 3,435.38/x
  3. Step 3: Cross multiply
    3,964.84x = 5,917.75 × 3,435.38
  4. Step 4: Simplify right side
    3,964.84x = 20,329,720.00
  5. Step 5: Solve for x
    x = 20,329,720.00/3,964.84
  6. Step 6: Final answer
    x = 5,127.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.