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Finding the Fourth Proportional to 3,338.34, 5,005.85 and 1,952.03

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Solution

The fourth proportional to 3,338.34, 5,005.85 and 1,952.03 is: 2,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.34 : 5,005.85 = 1,952.03 : x
  2. Step 2: Convert to fraction form
    3,338.34/5,005.85 = 1,952.03/x
  3. Step 3: Cross multiply
    3,338.34x = 5,005.85 × 1,952.03
  4. Step 4: Simplify right side
    3,338.34x = 9,771,534.59
  5. Step 5: Solve for x
    x = 9,771,534.59/3,338.34
  6. Step 6: Final answer
    x = 2,927.06

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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.