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Finding the Fourth Proportional to 5,980.39, 8,971.90 and 1,978.04

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Solution

The fourth proportional to 5,980.39, 8,971.90 and 1,978.04 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.39 : 8,971.90 = 1,978.04 : x
  2. Step 2: Convert to fraction form
    5,980.39/8,971.90 = 1,978.04/x
  3. Step 3: Cross multiply
    5,980.39x = 8,971.90 × 1,978.04
  4. Step 4: Simplify right side
    5,980.39x = 17,746,794.56
  5. Step 5: Solve for x
    x = 17,746,794.56/5,980.39
  6. Step 6: Final answer
    x = 2,967.50

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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.