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Finding the Fourth Proportional to 3,973.34, 5,960.06 and 1,200.04

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Solution

The fourth proportional to 3,973.34, 5,960.06 and 1,200.04 is: 1,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.34 : 5,960.06 = 1,200.04 : x
  2. Step 2: Convert to fraction form
    3,973.34/5,960.06 = 1,200.04/x
  3. Step 3: Cross multiply
    3,973.34x = 5,960.06 × 1,200.04
  4. Step 4: Simplify right side
    3,973.34x = 7,152,289.50
  5. Step 5: Solve for x
    x = 7,152,289.50/3,973.34
  6. Step 6: Final answer
    x = 1,800.07

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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.