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Finding the Fourth Proportional to 4,662.69, 6,991.66 and 1,542.03

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Solution

The fourth proportional to 4,662.69, 6,991.66 and 1,542.03 is: 2,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.69 : 6,991.66 = 1,542.03 : x
  2. Step 2: Convert to fraction form
    4,662.69/6,991.66 = 1,542.03/x
  3. Step 3: Cross multiply
    4,662.69x = 6,991.66 × 1,542.03
  4. Step 4: Simplify right side
    4,662.69x = 10,781,349.47
  5. Step 5: Solve for x
    x = 10,781,349.47/4,662.69
  6. Step 6: Final answer
    x = 2,312.26

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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.