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Finding the Fourth Proportional to 5,980.34, 8,971.46 and 1,976.51

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Solution

The fourth proportional to 5,980.34, 8,971.46 and 1,976.51 is: 2,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.34 : 8,971.46 = 1,976.51 : x
  2. Step 2: Convert to fraction form
    5,980.34/8,971.46 = 1,976.51/x
  3. Step 3: Cross multiply
    5,980.34x = 8,971.46 × 1,976.51
  4. Step 4: Simplify right side
    5,980.34x = 17,732,200.36
  5. Step 5: Solve for x
    x = 17,732,200.36/5,980.34
  6. Step 6: Final answer
    x = 2,965.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.