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Finding the Fourth Proportional to 3,980.03, 5,970.08 and 2,033.60

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Solution

The fourth proportional to 3,980.03, 5,970.08 and 2,033.60 is: 3,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.03 : 5,970.08 = 2,033.60 : x
  2. Step 2: Convert to fraction form
    3,980.03/5,970.08 = 2,033.60/x
  3. Step 3: Cross multiply
    3,980.03x = 5,970.08 × 2,033.60
  4. Step 4: Simplify right side
    3,980.03x = 12,140,754.69
  5. Step 5: Solve for x
    x = 12,140,754.69/3,980.03
  6. Step 6: Final answer
    x = 3,050.42

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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.