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Finding the Fourth Proportional to 5,878.52, 8,812.31 and 1,980.19

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Solution

The fourth proportional to 5,878.52, 8,812.31 and 1,980.19 is: 2,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.52 : 8,812.31 = 1,980.19 : x
  2. Step 2: Convert to fraction form
    5,878.52/8,812.31 = 1,980.19/x
  3. Step 3: Cross multiply
    5,878.52x = 8,812.31 × 1,980.19
  4. Step 4: Simplify right side
    5,878.52x = 17,450,016.21
  5. Step 5: Solve for x
    x = 17,450,016.21/5,878.52
  6. Step 6: Final answer
    x = 2,968.44

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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.