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Finding the Fourth Proportional to 7,980.66, 11,975.04 and 3,597.03

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Solution

The fourth proportional to 7,980.66, 11,975.04 and 3,597.03 is: 5,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.66 : 11,975.04 = 3,597.03 : x
  2. Step 2: Convert to fraction form
    7,980.66/11,975.04 = 3,597.03/x
  3. Step 3: Cross multiply
    7,980.66x = 11,975.04 × 3,597.03
  4. Step 4: Simplify right side
    7,980.66x = 43,074,578.13
  5. Step 5: Solve for x
    x = 43,074,578.13/7,980.66
  6. Step 6: Final answer
    x = 5,397.37

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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.