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Finding the Fourth Proportional to 5,880.63, 8,822.16 and 1,984.94

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Solution

The fourth proportional to 5,880.63, 8,822.16 and 1,984.94 is: 2,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.63 : 8,822.16 = 1,984.94 : x
  2. Step 2: Convert to fraction form
    5,880.63/8,822.16 = 1,984.94/x
  3. Step 3: Cross multiply
    5,880.63x = 8,822.16 × 1,984.94
  4. Step 4: Simplify right side
    5,880.63x = 17,511,458.27
  5. Step 5: Solve for x
    x = 17,511,458.27/5,880.63
  6. Step 6: Final answer
    x = 2,977.82

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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.