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Finding the Fourth Proportional to 5,882.80, 8,821.80 and 1,985.20

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Solution

The fourth proportional to 5,882.80, 8,821.80 and 1,985.20 is: 2,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.80 : 8,821.80 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    5,882.80/8,821.80 = 1,985.20/x
  3. Step 3: Cross multiply
    5,882.80x = 8,821.80 × 1,985.20
  4. Step 4: Simplify right side
    5,882.80x = 17,513,037.36
  5. Step 5: Solve for x
    x = 17,513,037.36/5,882.80
  6. Step 6: Final answer
    x = 2,976.99

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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.