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Finding the Fourth Proportional to 3,972.34, 5,964.87 and 3,277.50

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Solution

The fourth proportional to 3,972.34, 5,964.87 and 3,277.50 is: 4,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.34 : 5,964.87 = 3,277.50 : x
  2. Step 2: Convert to fraction form
    3,972.34/5,964.87 = 3,277.50/x
  3. Step 3: Cross multiply
    3,972.34x = 5,964.87 × 3,277.50
  4. Step 4: Simplify right side
    3,972.34x = 19,549,851.35
  5. Step 5: Solve for x
    x = 19,549,851.35/3,972.34
  6. Step 6: Final answer
    x = 4,921.49

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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.