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Finding the Fourth Proportional to 5,089.49, 7,633.42 and 2,167.01

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Solution

The fourth proportional to 5,089.49, 7,633.42 and 2,167.01 is: 3,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.49 : 7,633.42 = 2,167.01 : x
  2. Step 2: Convert to fraction form
    5,089.49/7,633.42 = 2,167.01/x
  3. Step 3: Cross multiply
    5,089.49x = 7,633.42 × 2,167.01
  4. Step 4: Simplify right side
    5,089.49x = 16,541,648.47
  5. Step 5: Solve for x
    x = 16,541,648.47/5,089.49
  6. Step 6: Final answer
    x = 3,250.16

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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.