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Finding the Fourth Proportional to 5,167.64, 7,754.51 and 1,880.98

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Solution

The fourth proportional to 5,167.64, 7,754.51 and 1,880.98 is: 2,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.64 : 7,754.51 = 1,880.98 : x
  2. Step 2: Convert to fraction form
    5,167.64/7,754.51 = 1,880.98/x
  3. Step 3: Cross multiply
    5,167.64x = 7,754.51 × 1,880.98
  4. Step 4: Simplify right side
    5,167.64x = 14,586,078.22
  5. Step 5: Solve for x
    x = 14,586,078.22/5,167.64
  6. Step 6: Final answer
    x = 2,822.58

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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.