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Finding the Fourth Proportional to 5,112.10, 7,666.93 and 3,468.21

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Solution

The fourth proportional to 5,112.10, 7,666.93 and 3,468.21 is: 5,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.10 : 7,666.93 = 3,468.21 : x
  2. Step 2: Convert to fraction form
    5,112.10/7,666.93 = 3,468.21/x
  3. Step 3: Cross multiply
    5,112.10x = 7,666.93 × 3,468.21
  4. Step 4: Simplify right side
    5,112.10x = 26,590,523.30
  5. Step 5: Solve for x
    x = 26,590,523.30/5,112.10
  6. Step 6: Final answer
    x = 5,201.49

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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.